Traces of Entropy Solutions to Second Order Forward-Backward Parabolic Equations

被引：0

作者：

Kuznetsov I.V. ^{[1
,2
]}

机构：

[1] Lavrent’ev Institute of Hydrodynamics SB RAS, 15, pr. Akad. Lavrent’eva, Novosibirsk

[2] Novosibirsk State University, 2, ul. Pirogova, Novosibirsk

来源：

Journal of Mathematical Sciences | 2015年 / 211卷 / 6期

基金：

俄罗斯基础研究基金会;

关键词：

Parabolic Equation; Weak Limit; Entropy Solution; Degenerate Parabolic Equation; Riesz Potential;

D O I：

10.1007/s10958-015-2633-9

中图分类号：

学科分类号：

摘要：

We establish the existence of traces in L1 of entropy solutions to the second order forward-backward parabolic equations. The main feature is that the trace of a solution does not necessarily coincide with the boundary data on a set of nonzero measure. Bibliography: 22 titles. © 2015, Springer Science+Business Media New York.

引用

页码：767 / 788

页数：21

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