Qualitative properties of separating flows in the Prandtl boundary layer.
Qualitative properties of solutions to elliptic singular problems.
Quantum decay rates in chaotic scattering
Quasilinear elliptic Dirichlet problem in nonregular domains
Quasilinear equations with natural growth.
Quasi-linear parabolic equations with degenerate coercivity having a quadratic gradient term
Quasilineare elliptische Differenatiloperatoren mit starkem Wachstum in den Termen höchster Ordnung.
Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems
It is proved that a function can be estimated in the norm with a higher degree of summability if it satisfies some integral relations similar to the reverse Hölder inequalities (quasireverse Hölder inequalities). As an example, we apply this result to derive an a priori estimate of the Hölder norm for a solution of strongly nonlinear elliptic system.
Quelques résultats de régularité pour un système elliptique avec conditions aux limites couplées
Quelques résultats sur les solutions de systèmes d'inéquations de type parabolique
On considère un opérateur défini paroù est une application de dans ( ouvert quelconque de ),
Reaction-diffusion system of equations in non-stationary medium and arbitrary non-smooth domains.
Recent progress in attractors for quintic wave equations
We report on new results concerning the global well-posedness, dissipativity and attractors for the quintic wave equations in bounded domains of with damping terms of the form , where or . The main ingredient of the work is the hidden extra regularity of solutions that does not follow from energy estimates. Due to the extra regularity of solutions existence of a smooth attractor then follows from the smoothing property when . For existence of smooth attractors is more complicated and follows...
Regular Solutions of Initial-Boundary Value Problems for Linear and Nonlinear Wave - Equations I.
Regular Solutions of Initial-Boundary Value-Problems for Linear and Nonlinear Wave-Equations. II.
Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung.
Régularité de la solution forte de problèmes non linéaires d'évolution
Régularité höldérienne de certains problèmes aux limites elliptiques dégénérés
Régularité höldérienne de certains problèmes aux limites elliptiques dégénérés
Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Regularity for entropy solutions of parabolic p-Laplacian type equations.
In this note we give some summability results for entropy solutions of the nonlinear parabolic equation ut - div ap (x, ∇u) = f in ] 0,T [xΩ with initial datum in L1(Ω) and assuming Dirichlet's boundary condition, where ap(.,.) is a Carathéodory function satisfying the classical Leray-Lions hypotheses, f ∈ L1 (]0,T[xΩ) and Ω is a domain in RN. We find spaces of type Lr(0,T;Mq(Ω)) containing the entropy solution and its gradient. We also include some summability results when f = 0 and the p-Laplacian...