A Boundary Value Problem for a Mixed Type Equation in a Cylindrical Domain
- 作者: Artyushin A.1
-
隶属关系:
- Sobolev Institute of Mathematics
- 期: 卷 60, 编号 2 (2019)
- 页面: 209-222
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172299
- DOI: https://doi.org/10.1134/S0037446619020034
- ID: 172299
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详细
We examine a boundary value problem for a mixed type equation of the second order in a cylindrical domain. Under certain conditions, the existence of regular solutions in a suitable weighted Sobolev space is proven by regularization. The uniqueness of solutions is also established under the same conditions. A few estimates of the second derivatives of a generalized solution are obtained in the elliptic-parabolic domain.
作者简介
A. Artyushin
Sobolev Institute of Mathematics
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