Estimates for viscosity solutions of parabolic equations with Dirichlet boundary conditions

被引：4

作者：

Gripenberg, G ^{[1
]}

机构：

[1] Helsinki Univ Technol, Inst Math, FIN-02015 Espoo, Finland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 12期

关键词：

viscosity solution; parabolic; dependence on data; Dirichlet boundary condition;

D O I：

10.1090/S0002-9939-02-06580-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown how one can get upper bounds for \u-v\ when u and v are the ( viscosity) solutions of u(t) - alpha(D-x u) Delta(x)u = 0 and v(t)-beta (D-x v) Delta(x) v = 0, respectively, in (0,infinity) x Omega with Dirichlet boundary conditions. Similar results are obtained for some other parabolic equations as well, including certain equations in divergence form.

引用

页码：3651 / 3660

页数：10

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