Entire solutions with exponential growth for an elliptic system modelling phase-transition QDD Terracini, S. Uniform Holder bounds for strongly competing systems involving the square root of the laplacian QDD Hartshorne, R. Wide oscillations finite time blow up for solutions to nonlinear fourth order differential equations QDD Gazzola, F. On the moments of solutions to linear parabolic equations involving the biharmonic operator QDD Pagani, C. Isola, T. Sauvageot J. In vitro tissue growth: a multiscale computational model of the dynamically evolving biophysical environment QDD Dulio, P.

Blow up oscillating solutions to some nonlinear fourth order differential equations QDD Barutello, V. Does an equity holding tax help to stabilize a VaR regulated financial market? QDD 89 Barucci, E. Existence and stability of entire solutions to a semilinear fourth order elliptic problem QDD 86 Berchio, E. Qualitative behavior of global solutions to some nonlinear fourth order differential equations QDD 85 Biscari, P. Quantum stochastic differential equations and continuous measurements: unbounded coefficients QDD 72 Barchielli A. Pagani; D. Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions QDD 54 Berchio, E ; Gazzola, F.

Characterization of critical values of branching random walks on weighted graphs through infinite-type branching processes QDD 48 Bertacchi, D. Bayesian first order autoregressive latent variable models for multiple binary sequences QDD 40 Boccellari, T. No geometric approach for general overdetermined elliptic problems with nonconstant source QDD 33 Gazzola, F.

Orthogonal double covers of complete bipartite graphs by the union of a cycle and a star QDD 20 Garavaglia, E. La predicibilita' di un terremoto caratteristico nell'ipotesi dei processi di rinnovo del tipo mistura QDD 19 Percivale, D. The steady two-dimensional flow over a rectangular obstacle lying on the bottom QDD 17 Longaretti, M.

Computational models in nano-bio-electronics: simulation of ionic transport in voltage operated channels QDD 6 Causin, P. Optimal design of thin plates by a dimension reduction for linear constrained problems QDD 3 Barchielli, A. Some stochastic differential equations in quantum optics and measurement theory: the case of counting processes QDD 2 Klee, V. Almost every convex of quadratic programming problem is well-posed P Lucchetti Roberto ; Miglierina E.

Rasella M. Marchetti E. Micula G. Pavani R. On the p,p norm of discrete Hilbert Transform. Homogeneization of elastic thin structures: a measure-fattening approach P Braides, A. Lower semicontinuity of multiple u-quasiconvex integrals P Buttazzo, G.

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An algorithm based on q. On a phase-field model with memory P Santoro G. Cristina ; Piro Grimaldi A. Existence of a principal eigenvalue for the Tricomi problem P Ladelli L. Fortini S. Petris G. Regazzini E. On mixtures of distributions of Markov chains P Ladelli L.

Gravitational collapse of fluid bodies and cosmic censorship: analytic insights P Santoro G. A basic triangle decomposition. Chain rule. Asymptotic analysis of a phase-field model with memory for vanishing time relaxation P Rossi Costa L. Exact solution of the wave resistance problem for a submerged cylinder. Optimization of the Stored energy and coaxiality of strain and stress in finite elasticity P Paglieri L.

Scheinine A. Formaggia L. Quarteroni A. Degenerate phase transition problems of parabolic type. How can numerically approximate the rotation number? Bucci R. Cercignani C. Valdettaro L. X-ray tranforms on finite radial trees P Formaggia L. Terracini S. Smoorhing properties of stochastic equations in Hilbert spaces P Santoro G. Champs de vecteurs, theoreme d'approximation de Meyers-Serrin et.

### Charlas anteriores

Adaptive numerical methods for transport dominated processes P Santoro G. Parameter estimation in differential equations, using random time transformations P Vivarelli M. Cerutti M. Recent developments in the numerical simulation of shallow water equations. On persistence of the multiplicity of eigenvalues for some variational elliptic operator depending on domain P Santoro, G. Finite element simulation of electron optical systems P Santoro G. Frontini M. Gradimir I. Milovanovic V. Asymmetric Boltzmann machines P Santoro G. On the inelastic and partially elastic impact of two vibrating strings with different characteristic velocities: a critical example 9-P Santoro, G.

Un'osservazione sul genere massimo dei grafi cubici P Aragno Marauta E. Mathematical models in rarefied gas dynamics. Torna alla maschera di ricerca. Scientific coordinator: Prof. Giusy Colombo. Home page. Politecnico Library Services. Electronic resources. Remote access. Login area.

Departmental Digital Collections. Interlibrary and Intra-University loans. On a semilinear elliptic boundary value problem arising in cardiac electrophysiology. QDD Finotelli, P. QDD Pagani, C. A nonlinear Steklov problem arising in corrosion modeling. QDD Maluta, E.

## A bibliography of the theory and applications of the Adomian decomposition method, 1961-2011

Diametrically complete sets and normal structure. QDD Barutello,V. Positive solutions with a complex behavior for superlinear indefinite ODEs on the real line. QDD Cao, H. Bach-flat gradient steady Ricci solitons. QDD Gazzola, F. Refined blow-up results for nonlinear fourth order differential equations. QDD Noris, B. Stable solitary waves with prescribed L2 mass for the cubic Schrodinger system with trapping potentials.

On the Melan equation for suspension bridges. QDD Gregoratti, M. QDD Guatteri, G. QDD G. QDD Baccarin, S. QDD Grillo, G.

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QDD Maddalena, F. Adhesion of Soft Nonlinear Elastic Membranes. QDD Bacchelli, V. Identification problem for a hyperbolic equation with Robin condition. Bending and stretching energies in a rectangular plate modeling suspension bridges. Weigthed fractional porous media equations: exixtende and uniqueness of weak solution with measure data.

QDD Berchio, E. Torsional instability in a fish-bone model for suspension bridges. QDD Arioli, G. Insegnare Matematica con Mathematica. QDD Gal, S. Approximation by polynomials on quaternionic compact sets. Teaching mathematics with automatic symbolic computation. QDD Barucci, E. Risk seeking, non convex remuneration and regime switching. QDD Escudero, C. Existence results for a fourth order partial differential equation arising in condensed matter physics.

Existence versus blow-up results for a fourth order parabolic PDE involving the Hessian. QDD Verzini, G. Strong competition versus fractional diffusion: the case of Lotka-Volterra interaction. QDD Corsaro, S. A parallel wavelet-based pricing procedure for Asian options. QDD Ferrero, A. A partially hinged rectangular plate as a model for suspension bridges. QDD Soave, N. Bounded solutions for a forced bounded oscillator without friction.

Rumor processes in random environment on N and on Galton-Watson trees. QDD Bramanti, M. Sharp asymptotics for the porous media equation in low dimensions via Gagliardo-Nirenberg inequalities. Radial fast diffusion on the hyperbolic space. Entire solutions with exponential growth for an elliptic system modelling phase-transition. QDD Terracini, S. A new mathematical explanation of the Tacoma Narrows Bridge collapse. QDD Cerqueti, R. Optimal investments in a patent race. Nonlinearity in oscillating bridges. QDD Marchionna, C. Free vibrations in space of the single mode for the Kirchhoff string.

QDD Barchielli, A. Quantum continuous measurements: The stochastic Schroedinger equations and the spectrum of the output. Hexagonal design for stiffening trusses. Uniform Holder bounds for strongly competing systems involving the square root of the laplacian. QDD Hartshorne, R. Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models.

Optimal impulse control of a portfolio with a fixed transaction cost. Weighted dispersive estimates for two-dimensional Schroedinger operators with Aharonov-Bohm magnetic field. QDD Zucca, F. Persistent and susceptible bacteria with individual deaths. QDD Bertacchi, D. Strong local survival of branching random walks is not monotone.

Conditions at infinity for the inhomogeneous filtration equation. Higher order linear parabolic equations. QDD Cipriani F. Variations in Noncommutative Potential Theory: finite-energy states, potentials and multipliers. QDD Sesana, D. Pricing Exotic Derivatives Exploiting Structure. Wide oscillations finite time blow up for solutions to nonlinear fourth order differential equations. On the moments of solutions to linear parabolic equations involving the biharmonic operator.

A three dimensional Steklov eigenvalue problem with exponential nonlinearity on the boundary.

## Seminario de Ecuaciones Diferenciales

QDD Bonforte, M. QDD Baraldo, S. QDD Cipriani, F. Spectral Triples for the Sierpinski gasket. Differential 1-forms, their integrals ans Potential Theory on the Sierpinski gasket. Sharp bounds for the p-torsion of convex planar domains. QDD Bertacchi D. Local and global survival for nonhomogeneous random walk systems on Z.

On the second solution to a critical growth Robin problem. Quantum measurements in continuous time, non Markovian evolutions and feedback. QDD Ieva, F. Designing and mining a multicenter observational clinical registry concerning patients with Acute Coronary Syndromes. QDD Antunes, P. Convex shape optimization for the least biharmonic Steklov eigenvalue. On the existence of optimal controls for SPDEs with boundary-noise and boundary-control. QDD Causin, P. In vitro tissue growth: a multiscale computational model of the dynamically evolving biophysical environment.

QDD Dulio, P. QDD Barutello, V. Entire minimal parabolic trajectories: the planar anisotropic Kepler problem. QDD Marazzina, D. QDD Frezzotti, A. Elastic structures in adhesion interaction. Blow up oscillating solutions to some nonlinear fourth order differential equations. QDD 99 Raimondi, M. QDD 97 Grillo, G. Sharp two-sided heat kernel estimates of twisted tubes and applications.

QDD 96 Bonforte, M. Behaviour near extinction for the Fast Diffusion Equation on bounded domains. QDD 95 Bonforte, M. Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space. QDD 94 Bertacchi, D. Recent results on branching random walks.

QDD 93 de Falco, C. QDD 92 Bramanti, M. QDD 91 Barucci, E. Portfolio choices and VaR constraint with a defaultable asset. QDD 90 Barucci, E. QDD 88 Corsaro, S. Wavelet techniques for option pricing on advanced architectures. QDD 87 Berchio, E. Existence and stability of entire solutions to a semilinear fourth order elliptic problem. QDD 86 Berchio, E. Qualitative behavior of global solutions to some nonlinear fourth order differential equations. QDD 85 Biscari, P. Analysis of an evolution problem for controlled drug release.

QDD 84 Bramanti, M. Local real analysis in locally homogeneous spaces. QDD 83 Carriero, M. Free Gradient Discontinuity and Image Painting. QDD 82 Carriero, M. QDD 81 Barucci, E. Prices in the utility function and demand monotonicity. On an isoperimetric inequality for capacity conjectured by Polya and Szego.

QDD 79 Gazzola, F. Remainder terms in a higher order Sobolev inequality. QDD 78 Gazzola, F. Polyharmonic boundary value problems. QDD 76 Conti, M. Wave equations with memory: the minimal state approach. QDD 75 Bramanti, M. Some properties of BV functions on Carnot groups related to the heat semigroup. Quantum stochastic differential equations and continuous measurements: unbounded coefficients. QDD 72 Barchielli A. Jump-diffusion unravelling of a non Markovian generalized Lindblad master equation.

QDD 71 Conti, M. Approximating infinite delay with finite delay. QDD 70 Berchio, E. Hardy-Rellich inequalities with boundary remainder terms and applications. QDD 69 Pirola, G. A new curve algebraically but not rationally uniformized by radical. QDD 68 Bramanti, M. On the lifting and approximation theorem for nonsmooth vector fields. QDD 67 Bramanti, M. Basic properties of nonsmooth Hormander s vector fields and Poincare s inequality.

QDD 74 Maddalena, F. Adhesive flexible material structures. QDD 66 Boccellari, T. QDD 65 de Falco, C. QDD 64 Barchielli, A. QDD 63 Zucca, F. Survival, extinction and approximation of discrete-time branching random walks. QDD 62 Brera, M. QDD 61 C. QDD 59 Citterio, M. About k-digit rational approximations. QDD 58 Belhadji, L. A self-regulating and patch subdivided population. QDD 57 Bertacchi, D. Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions.

Positive solutions to a linearly perturbed critical growth biharmonic problem. QDD 55 Fagnola, F. QDD 53 de Falco, C. QDD 52 Percivale D. Regular minimizers of some free discontinuity problems. QDD 51 Carriero, M. Variational approach to image segmentation. QDD 50 Bertacchi, D.

QDD 49 Bertacchi, D. Characterization of critical values of branching random walks on weighted graphs through infinite-type branching processes. QDD 48 Bertacchi, D. Critical behaviors and critical values of branching random walks on multigraphs. Novikov-Veselov equation and the inverse scattering transform. Organized by: Thomas Hagen and Janos Turi. Long time asymptotics for fast diffusion. Stability and Approximation for Linear Systems. Some non-linear Differential Equations in spaces of Compact Operators. Modeling tumor growth using a multifluid approach. Modelling hematopoiesis with applications to Chronic Myelogenous Leukemia.

On the regularity of weak solutions to the 3D Navier-Stokes equations in Besov spaces. A regularity criterion for the dissipative quasi- geostrophic equations. Structures of nematic polymers in the flow. Dynamics of sheared polymer-particulate nanocomposites. Gao , and Qingguo Meng. John W. Approximation theorems for a class of fourth order elliptic equations. Geiser and Q. Alexander Ostermann , University of Innsbruck, Austria. Splitting methods for nonautonomous evolution equations. The left-definite spectral analysis of the fourth-order Legendre type differential equations.

Modified split shooting procedures for solving optical wave quenching-collapsing problems. Scattering of fourth-order nonlinear waves. Stability problems in fluid and plasmas. Well- posedness of the water-wave problem with surface tension: a new approach. Quasicrystals in Wonderland. Eigenvalue statistics in the Anderson model.

Marrero, D. Willy Sarlet , Ghent University, Belgium. Conservation laws in non- holonomic mechanics from non-symmetries. Non- Abelian Routh reduction and relative equilibria. Geometry of variational nonholonomic Lagrangian systems with symmetries. Vakonomic mechanics on Lie affgebroids. Peakons with cubic nonlinearity. Classification of integrable Camassa -Holm type equations. Matrix algebra techniques for solving the matrix KdV equation. Francesco Demontis , University of Cagliari, Italy.

Coffee Break. Palo Duro Lounge, E. Daniel J. Masahito Ohta , Saitama University, Japan. Global well- posedness for the Mawell-Schroedinger system. Marco Spadini , University of Florence, Italy. Atsushi Yagi , Osaka University, Japan. Exponential attractors for B-Z reaction model.

Giulio Schimperna , University of Pavia, Italy. Asymptotic behavior of some singular phase transition systems. On the Caginalp system with dynamic boundary conditions and singular potential. Arnaud Rougirel , University of Poitiers, France. However, the linking structure here Lemma 4.

The inequality 4. In fact, the Linking Theorem provides two distinct critical levels cf. Remark 5. Utilizing g1 , g2 00 and g3 00 , it is easy to see that J is still weakly lower semicontinuous and coercive; thus, by a classical argument cf. It is clear that the growth condition will imply that the functional J will still satisfy Lemma 4. Proof of Theorem 5. J is an even functional, and thus we may apply Theorem 8 of [6] to get our result.

In fact, in such a case, denoting by Kcm the set of critical points at level cm 6 An ODE analog In this section we consider an analogous nonlocal semilinear problem for a second order ordinary differential operator with Cauchy conditions whose manifest asymmetry can be resolved by composition with a reflection operator which results in a variational structure amenable to the very same dual variational methods we have used for N ST.

Moreover, in this simplified setting some additional remarks concerning the role of the reflection operator with respect to existence of nontrivial solutions follow easily. One can easily prove cf. However, the problem SO can be transformed into an initial value problem for a Hamiltonian system for which there is an isolated equilibrium at the origin in the phase plane, and hence one obtains uniqueness of the trivial solution for the unreflected problem SO cf.

Therefore, one can say that the presence of the nonlocal effect in N SO , as represented by R, not only yields a variational structure but allows for nontrivial solutions as well. For the problem N ST , similar uniqueness considerations may well hold, although the lack of regularity in the nonlinearity f does not allow one to apply known results such as those of [13] and [21] to conclude that the unreflected problem has the unique trivial solution.

References [1] A. Ambrosetti and G. Agmon, L. Nirenberg, and M.

### The dual variational method in nonlocal semilinear Trii

Protter, A maximum principle for a class of hyperbolic equations and applications to equations of mixed elliptichyperbolic type, Comm. Pure Appl. Monographs, Vol. Berger, G. Warnecke, and W. Wendland, Finite elements for transonic potential flows, Numerical Methods for Partial Differential Equations 6 , Courant and D. Didenko, On the generalized solvability of the Tricomi problem, Ukrain. Didenko, A variational problem for equations of mixed type, Differential Equations 13 , USSR Ser. Friedrichs, Symmetric positive linear differential equations, Comm.

Gvazava, On uniqueness of solution of the Tricomi problem for a class of nonlinear equations, Soviet Math. Lupo and A. Micheletti, Multiple solutions for Hamiltonian systems via limit relative category, J. Lupo and K. Lupo, A. Micheletti and K. Payne, Existence of eigenvalues for reflected Tricomi operators and applications to multiplicity of sultions for sublinear and asymptotically linear nonlocal Tricomi problems, Advances in Diff.

Equations, to appear. Manes and A.