Enviar artigo por via de e-mail Existence of Weak Solutions to an Elliptic-Parabolic Equation with Variable Order of Nonlinearity
- Autores: Mukminov F.K.1, Andriyanova E.R.2,3
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Afiliações:
- Institute of Mathematics with Computer Center, Ufa Science Center of the Russian Academy of Sciences
- Australian Mathematical Sciences Institute
- Australian National University
- Edição: Volume 241, Nº 3 (2019)
- Páginas: 290-305
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242887
- DOI: https://doi.org/10.1007/s10958-019-04424-5
- ID: 242887
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Resumo
We consider an equation with variable nonlinearity of the form |u|p(x), in which the parabolic term can vanish, i.e., in the corresponding domain the parabolic equation becomes “elliptic.” Under the weak monotonicity conditions (nonstrict inequality) we prove the existence of a solution to the first mixed problem in a cylinder with a bounded base.
Sobre autores
F. Mukminov
Institute of Mathematics with Computer Center, Ufa Science Center of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: mfkh@rambler.ru
Rússia, Ufa
E. Andriyanova
Australian Mathematical Sciences Institute; Australian National University
Email: mfkh@rambler.ru
Austrália, Melbourne; Melbourne
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