Access the full text.
Sign up today, get DeepDyve free for 14 days.
A. Friedman (1983)
Partial Differential Equations of Parabolic Type
(1964)
Translated under the title: Uravneniya s chastnymi proizvodnymi parabolicheskogo tipa
E. Baderko, M. Cherepova (2020)
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 PlaneJournal of Mathematical Sciences, 251
(1988)
Gladkost’ potentsiala prostogo sloya dlya parabolicheskoi sistemy vtorogo poryadka (Smoothness of single-layer potential for a parabolic system of the second order)
L.I. Kamynin (1972)
529Dokl. Akad. Nauk SSSR, 204
L. Kamynin, B. Khimchenko (1973)
Analogs of Giraud's theorem for a second-order parabolic equationSiberian Mathematical Journal, 14
V.A. Solonnikov (1965)
1Proc. Steklov Inst. Math., 83
E. Baderko, M. Cherepova (2016)
Simple layer potential and the first boundary value problem for a parabolic system on the planeDifferential Equations, 52
E.A. Baderko, M.F. Cherepova (2020)
Uniqueness of solutions of initial boundary value problems for parabolic systems in the plane bounded domains with nonsmooth lateral boundariesDokl. Ross. Akad. Nauk. Mat. Inf. Protsess. Upr., 494
E. Baderko, M. Cherepova (2014)
The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundariesDoklady Mathematics, 90
V.A. Solonnikov (1965)
On boundary value problems for linear parabolic systems of differential equations of the general formProc. Steklov Inst. Math., 83
(1972)
On applications of the maximum principle to parabolic equations of the 2nd order
(1967)
Lineinye i kvazilineinye uravneniya parabolicheskogo tipa (Linear and Quasilinear Equations of Parabolic Type)
V. Maz'ya, G. Kresin (1986)
ON THE MAXIMUM PRINCIPLE FOR STRONGLY ELLIPTIC AND PARABOLIC SECOND ORDER SYSTEMS WITH CONSTANT COEFFICIENTSMathematics of The Ussr-sbornik, 53
(1938)
On the Cauchy problem for systems of linear partial differential equations in the domain of nonanalytic functions, Byull
E. Baderko, M. Cherepova (2020)
Uniqueness of Solutions to Initial Boundary Value Problems for Parabolic Systems in Plane Bounded Domains with Nonsmooth Lateral BoundariesDoklady Mathematics, 102
(1999)
On the smoothness of the potential of volume masses for parabolic systems, Vestn
E. Baderko, M. Cherepova (2018)
Uniqueness of Solution to the First Initial Boundary Value Problem for Parabolic Systems on the Plane in a Model CaseDoklady Mathematics, 98
E. Baderko, M. Cherepova (2019)
Uniqueness of Solution of the First Initial-Boundary Value Problem for Parabolic Systems with Constant Coefficients in a Semibounded Domain on the PlaneDifferential Equations, 55
A. Il'in, A. Kalashnikov, O. Oleinik (1962)
LINEAR EQUATIONS OF THE SECOND ORDER OF PARABOLIC TYPERussian Mathematical Surveys, 17
The first and second initial–boundary value problems are considered for a second-orderPetrovskii parabolic system with variable coefficients in a bounded domain with nonsmooth lateralboundaries on the plane. The uniqueness of solution of these problems is proved in the class offunctions that are continuous together with the first spatial derivative in the closure of thedomain.
Differential Equations – Springer Journals
Published: Aug 1, 2021
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.