Boundary-Value Problems with Impulsive Conditions for Parabolic Equations with Degenerations

被引：0

作者：

Іsaryuk І.М. ^{[1
]}

Pukal’s’kyi І.D. ^{[1
]}

机构：

[1] Fed’kovych Chernivtsi National University, Chernivtsi

来源：

Journal of Mathematical Sciences | 2019年 / 236卷 / 1期

关键词：

D O I：

10.1007/s10958-018-4097-1

中图分类号：

学科分类号：

摘要：

We consider the first boundary-value problem and the unilateral boundary-value problem with impulsive conditions with respect to the time variable for a linear parabolic equation with power singularities of any order in the space variables. With the help of the maximum principle and a priori estimates, we establish the existence and uniqueness of the solutions of the posed problems in the Hölder spaces with power weights. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：53 / 70

页数：17

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