Abstract
We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term. More precisely, we show that two unique weak solutions of the considered system with different initial values are controlled by their initial values.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference24 articles.
1. Existence and uniqueness of weak solutions to parabolic problems with nonstandard growth and cross diffusion;Arumugam;Electron. J. Differ. Equ.,2020
2. On a class of fully nonlinear parabolic equations
3. Mathematical analysis of fluids in motion: from well-posedness to model reduction
4. On a climate model with a dynamic nonlinear diffusive boundary condition;Díaz;Discret. Contin. Dyn. Syst. Ser. S,2008
5. Lebesgue and Sobolev spaces with variable exponents;Diening,2011
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献