Definite Condition of the Evolutionary $\vec{p}(x)$−Laplacian Equation

Year:    2022

Author:    Huashui Zhan, Zhaosheng Feng

Analysis in Theory and Applications, Vol. 38 (2022), Iss. 3 : pp. 297–321

Abstract

For the nonlinear degenerate parabolic equations, how to find an appropriate boundary value condition to ensure the well-posedness of weak solution has been an interesting and challenging problem. In this paper, we develop the general characteristic function method to study the stability of weak solutions based on a partial boundary value condition.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2021-0029

Analysis in Theory and Applications, Vol. 38 (2022), Iss. 3 : pp. 297–321

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    25

Keywords:    Definite condition stability general characteristic function method weak solution Laplacian equation.

Author Details

Huashui Zhan

Zhaosheng Feng