Мақаланы E-mail арқылы жіберу Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative
- Авторлар: Demidenko G.1,2
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Мекемелер:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Шығарылым: Том 230, № 1 (2018)
- Беттер: 25-35
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240597
- DOI: https://doi.org/10.1007/s10958-018-3723-2
- ID: 240597
Дәйексөз келтіру
Ашық рұқсат
Рұқсат берілді
Тек жазылушылар үшін
Аннотация
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.
Авторлар туралы
G. Demidenko
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: demidenk@math.nsc.ru
Ресей, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090
