Obstacle problem for semilinear parabolic equations with measure data

被引：15

作者：

Klimsiak, Tomasz ^{[1
]}

Rozkosz, Andrzej ^{[1
]}

机构：

[1] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2015年 / 15卷 / 02期

关键词：

Divergence form operator; Semilinear parabolic equation; Obstacle problem; Measure data; RENORMALIZED SOLUTIONS; DIRICHLET FORMS; CAUCHY-PROBLEM; BSDES; EXISTENCE;

D O I：

10.1007/s00028-014-0269-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the obstacle problem with two irregular barriers for the Cauchy-Dirichlet problem for semilinear parabolic equations with measure data. We prove the existence and uniqueness of renormalized solutions of the problem as well as results on approximation of the solutions by the penalization method. In the proofs, we use probabilistic methods of the theory of Markov processes and the theory of backward stochastic differential equations.

引用

页码：457 / 491

页数：35

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