On boundary and initial values of solutions of a second-order parabolic equation that degenerate on the domain boundary
- Авторлар: Petrushko I.M.1
-
Мекемелер:
- Moscow Power Engineering Institute
- Шығарылым: Том 96, № 3 (2017)
- Беттер: 568-570
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225419
- DOI: https://doi.org/10.1134/S1064562417060084
- ID: 225419
Дәйексөз келтіру
Аннотация
Properties of the solutions of a parabolic equation in the case of a Keldysh-type degeneracy on the boundary of the domain are investigated. The unique solvability of the first mixed problem for this equation is studied. Necessary and sufficient conditions for the existence of limits of the solution on the lateral surface of a cylindrical domain and on its lower base in L2-type spaces are found.
Авторлар туралы
I. Petrushko
Moscow Power Engineering Institute
Хат алмасуға жауапты Автор.
Email: petrushko@mail.ru
Ресей, Moscow, 111250
Қосымша файлдар
