Existence results for a class of two-fold saddle point parabolic differential equations-Reference-Cited by-同舟云学术

Existence results for a class of two-fold saddle point parabolic differential equations

Published:2023-10 Issue:4 Volume:63 Page:417-427
ISSN:0363-1672
Container-title:Lithuanian Mathematical Journal
language:en
Short-container-title:Lith Math J

Author:

Acevedo Ramiro^ORCID,Anacona Wilson^ORCID,Gómez Christian^ORCID

Abstract

AbstractWe propose and analyze an abstract framework to study the well-posedness for a family of linear degenerate parabolic augmentedmixed equations.We combine the theory for linear degenerate parabolic problems with results about stationary two-fold saddle point equations to deduce sufficient conditions for the existence and uniqueness of a solution for the problem. Finally, we show some applications of the developed theory through examples that come from fluid dynamic and electromagnetic problems.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10986-023-09616-w.pdf

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