Évolution d'une onde simple pour des équations non-linéaires générales
Evolution equations governed by families of weighted operators
Evolution equations in non-cylindrical domains
We develolp a new method to solve an evolution equation in a non-cylindrical domain, by reduction to an abstract evolution equation..
Evolution of hypersurfaces by their curvature in Riemannian manifolds.
Evolution operators for higher order abstract parabolic equations
Evolution problems associated with nonconvex closed moving sets with bounded variation.
Exact solutions to some nonlinear PDEs, travelling profiles method.
Existence and regularity for semilinear parabolic evolution equations
Existence of solutions for degenerate sweeping processes.
Existence results for a fourth order partial differential equation arising in condensed matter physics
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation which nonlinearity is the determinant of the Hessian matrix of the solution. We consider this model in a bounded domain of the real plane and study its stationary solutions both when the geometry of this domain is arbitrary and when it is the unit ball and the solution is radially symmetric. We also consider the initial-boundary value problem...
Extension of a result of Ladyženskaja and Uralceva concerning second-order parabolic equations of arbitrary order
Extrapolation Methods for Dynamic Partial Differential Equations.
Familles de convexes invariantes et équations de diffusion-réaction
Pour localiser la solution d’un système de diffusion-réaction, il suffit de construire une famille de convexes , invariante par rapport au champ de vecteurs associé à ce système; la solution est alors incluse dans à l’instant dès qu’elle est contenue dans à l’instant zéro. Les fonctions d’appui associées à de telles familles de convexes sont solutions d’un système différentiel, mais celui-ci peut également engendrer des familles non invariantes.
Finite element analysis of a system of quasi-parabolic partial differential equations
Fourth-order partial differential equations for effective image denoising.
Gain of regularity for equations of KdV type
Galerkin approximations for nonlinear evolution inclusions
In this paper we study the convergence properties of the Galerkin approximations to a nonlinear, nonautonomous evolution inclusion and use them to determine the structural properties of the solution set and establish the existence of periodic solutions. An example of a multivalued parabolic p.d.ei̇s also worked out in detail.
Global Attractor for a Class of Parabolic Equations with Infinite Delay
We prove the existence of a compact connected global attractor for a class of abstract semilinear parabolic equations with infinite delay.
Global existence for a Riccati equation arising in a boundary control problem for distributed parameters
Si prova resistenza globale della soluzione di una equazione di Riccati collegata alla sintesi di un problema di controllo ottimale. Il problema considerato rappresenta la versione astratta di alcuni problemi governati da equazioni paraboliche con il controllo sulla frontiera.
Global Instability and Essential Spectrum in Semilinear Evolution Equations.