On boundary and initial values of solutions of a second-order parabolic equation that degenerate on the domain boundary
- 作者: Petrushko I.M.1
-
隶属关系:
- Moscow Power Engineering Institute
- 期: 卷 96, 编号 3 (2017)
- 页面: 568-570
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225419
- DOI: https://doi.org/10.1134/S1064562417060084
- ID: 225419
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详细
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.
作者简介
I. Petrushko
Moscow Power Engineering Institute
编辑信件的主要联系方式.
Email: petrushko@mail.ru
俄罗斯联邦, Moscow, 111250
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