-inequalities for the laplacian and unique continuation
We prove an inequality of the typeThis is then used to derive the unique continuation property for the differential inequality under suitable local integrability assumptions on the function .
--Time decay estimate for solution of the Cauchy problem for hyperbolic partial differential equations of linear thermoelasticity
We prove the --time decay estimates for the solution of the Cauchy problem for the hyperbolic system of partial differential equations of linear thermoelasticity. In our proof based on the matrix of fundamental solutions to the system we use Strauss-Klainerman’s approach [12], [5] to the --time decay estimates.
time decay estimates for the solution of the linear partial differential equations of thermodiffusion
We consider the initial-value problem for a linear hyperbolic parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove time decay estimates for the solution of the associated linear Cauchy problem.
-oценки решений задачи Коши для одномерного гиперболического уравнения
-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