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 difference approximations for nonlinear first order partial differential equations.
Finite dimensional behavior for weakly damped driven Schrödinger equations
Formal and Convergent Solutions of Singular Partial Differential Equations.
Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
Fundamental operator-functions of degenerate differential and difference-differential operators in Banach spaces which have a Noether operator in the principal part.
Fundamental solution for operators preserving a quadratic form
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.
G-convergence of monotone operators
General method of integration of partial differential equations of the n-th order
General solutions of certain nonlinear partial differential equations
Generalized lubrification models blow-up and global existence result.
We study a general mathematical model linked with various physical models. Especially, we focus on those models established by King or Spencer-Davis-Voorhees related to thin films extending the lubrication model studied by Bernis-Friedman. According to the initial data, we prove that, either, blow up or global existence can be obtained.
Generalized Solutions to Cauchy Problems.
Generic properties of nonlinear boundary value problems
Geometry of the Complex Homogeneous Monge-Ampère Equation.
Gevrey solvability for semilinear partial differential equations with multiple characteristics
Vengono considerate equazioni alle derivate parziali semilineari con caratteristiche multiple. Si studia in particolare la loro risolubilità locale e la buona positura del problema di Cauchy nell'ambito delle classi di Gevrey.
Global asymptotic stability of solutions to nonlinear marine riser equation.