-oценки решения задачи Коши для одномерного гиперболического уравнения высокого порядка с постоянными коэффициентами
-regularity of solutions to first initial-boundary value problem for hyperbolic equations in cusp domains.
regularity of velocity averages
-resolvent estimates and time decay for generalized thermoelastic plate equations.
- theory for a class of singular elliptic differential operators, II
spaces and their application to elliptic partial differential operators
-оценки решения смешанной задачи с условиями Дирихле для волнового уравнения при радиальных начальных данных
estimates for damped wave equations with odd initial data.
-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues.
L1 and L∞-estimates with a local weight for the ∂-equation on convex domains in Cn.
We construct a defining function for a convex domain in Cn that we use to prove that the solution-operator of Henkin-Romanov for the ∂-equation is bounded in L1 and L∞-norms with a weight that reflects not only how near the point is to the boundary of the domain but also how convex the domain is near the point. We refine and localize the weights that Polking uses in [Po] for the same type of domains because they depend only on the Euclidean distance to the boudary and don't take into account the...
L2 Decay for the Navier-Stokes Flow in Halfspaces.
L2-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.
La condition nulle pour les équations hyperboliques en dimension deux d’espace
La diffusione del calore in uno strato di spessore variabile in presenza di scambi termici non lineari con l'ambiente. (I) Deduzione di limitazioni a priori sulla temperatura e le sue derivate
La méthode de Kikuchi appliquée aux équations de von Karman.
La première valeur propre du laplacien pour le problème de Dirichlet
Landesman-Lazer condition for periodic problems with jumping nonlinearities
Laplace asymptotics for generalized K.P.P. equation
Consider a one dimensional nonlinear reaction-diffusion equation (KPP equation) with non-homogeneous second order term, discontinuous initial condition and small parameter. For points ahead of the Freidlin-KPP front, the solution tends to 0 and we obtain sharp asymptotics (i.e. non logarithmic). Our study follows the work of Ben Arous and Rouault who solved this problem in the homogeneous case. Our proof is probabilistic, and is based on the Feynman-Kac formula and the large deviation principle...
Laplace asymptotics for generalized K.P.P. equation
Large data local solutions for the derivative NLS equation
We consider the derivative NLS equation with general quadratic nonlinearities. In [2] the first author has proved a sharp small data local well-posedness result in Sobolev spaces with a decay structure at infinity in dimension . Here we prove a similar result for large initial data in all dimensions .