Regularity of solutions of boundary value problems for a second-order parabolic equation in weighted Hölder spaces

被引：0
作者：
M. F. Cherepova
机构：
[1] National Research University “Moscow Power Engineering Institute,
[2] ”,undefined
来源：
Differential Equations | 2013年 / 49卷
关键词：
Parabolic Equation; Lateral Boundary; Matching Condition; Boundary Integral Equation; Unbounded Domain;
D O I：
暂无
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学科分类号：
摘要：
We consider the first boundary value problem and the oblique derivative problem for a linear second-order parabolic equation in noncylindrical not necessarily bounded domains with nonsmooth (with respect to t) and noncompact lateral boundary under the assumption that the right-hand side and the lower-order coefficients of the equation may have certain growth when approaching the parabolic boundary of the domain and all coefficients are locally Hölder with given characteristics of the Hölder property. We construct a smoothness scale of solutions of these boundary value problems in Hölder spaces of functions that admit growth of higher derivatives near the parabolic boundary of the domain.
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页码：79 / 87
页数：8
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