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Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane

Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Uniqueness of Solutions of the First and Second Initial–Boundary Value Problems for Parabolic Systems in Bounded Domains on the Plane

Differential Equations , Volume 57 (8) – Aug 1, 2021

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References (20)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/s001226612108005x
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Differential EquationsSpringer Journals

Published: Aug 1, 2021

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