Asymptotic behavior for a class of parabolic equations in weighted variable Sobolev spaces

Author:

Shmarev Sergey1,Simsen Jacson2,Stefanello Simsen Mariza2,Primo Marcos Roberto T.3

Affiliation:

1. Departamento de Matemáticas, Universidad de Oviedo, c/Calvo Sotelo, s/n, 33007, Oviedo, Spain. E-mail: shmarev@uniovi.es

2. Instituto de Matemática e Computação, Universidade Federal de Itajubá, Av. BPS n. 1303, Bairro Pinheirinho, 37500-903, Itajubá, MG, Brasil. E-mails: jacson@unifei.edu.br, mariza@unifei.edu.br

3. Departamento de Matemática, Universidade Estadual de Maringá, 87020-900, Maringá, Paraná, Brasil. E-mail: mrtprimo@uem.br

Publisher

IOS Press

Subject

General Mathematics

Reference22 articles.

1. R.A. Adams and J.J.F. Fournier, Sobolev Spaces, 2nd edn, Pure and Applied Mathematics (Amsterdam), Vol. 140, Elsevier/Academic Press, Amsterdam, 2003.

2. The Cauchy problem for a class of parabolic equations in weighted variable Sobolev spaces: Existence and asymptotic behavior;Alves;J. Math. Anal. Appl.,2016

3. Parabolic problems in R n with spatially variable exponents;Alves;Asymptot. Anal.,2015

4. Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions;Antontsev;Commun. Pure Appl. Anal.,2013

5. Evolution PDEs with Nonstandard Growth Conditions

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