ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTS

DOI10.1070/SM1986V053N02ABEH002932zbMath0599.35016MaRDI QIDQ3733275

Vladimir Gilelevich Maz'ya, Gershon I. Kresin

Publication date: 1986

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

maximum principle biharmonic equation constant coefficients second order systems Stokes systems strongly parabolic systems strongly elliptic systems Miranda inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Second-order parabolic systems (35K40)

Related Items (14)

Smooth solution of the second initial-boundary value problem for a model parabolic system in a semibounded nonsmooth domain on the plane ⋮ Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane ⋮ Classical solutions of the first boundary value problem for parabolic systems on the plane ⋮ Existence and uniqueness of the classical solution of the first boundary value problem for parabolic systems on the plane ⋮ On the unique solvability of initial-boundary value problems for parabolic systems in bounded plane domains with nonsmooth lateral boundaries ⋮ Uniqueness of solutions to initial-boundary value problems for parabolic systems with dini-continuous coefficients in a semibounded domain on the plane ⋮ Uniqueness of a solution in a Hölder class to the first initial boundary value problem for a parabolic system in a bounded nonsmooth domain in the plane ⋮ Uniqueness of solution to the first initial boundary value problem for parabolic systems on the plane in a model case ⋮ Uniqueness of solutions of the first and second initial-boundary value problems for parabolic systems in bounded domains on the plane ⋮ Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries ⋮ Dirichlet problem for parabolic systems with Dini continuous coefficients ⋮ Uniqueness of the solution of the first initial-boundary value problem for a parabolic system with differentiable coefficients in a half-strip with nonsmooth lateral boundary ⋮ Best Constants in the Miranda-Agmon Inequalities for Solutions of Elliptic Systems and the Classical Maximum Modulus Principle for Fluid and Elastic Half-spaces ⋮ Uniqueness of solution of the first initial-boundary value problem for parabolic systems with constant coefficients in a semibounded domain on the plane

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