Enviar artigo por via de e-mail Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative
- Autores: Demidenko G.V.1,2
-
Afiliações:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Edição: Volume 230, Nº 1 (2018)
- Páginas: 25-35
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240597
- DOI: https://doi.org/10.1007/s10958-018-3723-2
- ID: 240597
Citar
Acesso aberto
Acesso está concedido
Somente assinantes
Resumo
We consider a class of quasielliptic operators in Rn and establish the isomorphism property in special weighted Sobolev spaces. In more general weighted spaces, we obtain the unique solvability conditions for quasielliptic equations and prove estimates for solutions. Based on the obtained results, we study the solvability of the initial problem for equations that are not solvable with respect to the higher order derivative.
Sobre autores
G. Demidenko
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Autor responsável pela correspondência
Email: demidenk@math.nsc.ru
Rússia, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090
Arquivos suplementares
