Convergence of Rothe's method for fully nonlinear parabolic equations

被引：0
作者：
Ivan Blank
Penelope Smith
机构：
[1] Worcester Polytechnic Institute,Department of Mathematics
[2] Lehigh University,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2005年 / 15卷
关键词：
35J60; 65M20; Rothe's method; the method of lines; fully nonlinear; parabolic PDE; viscosity solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Convergence of Rothe's method for the fully nonlinear parabolic equation ut+F(D2u, Du, u, x, t)=0 is considered under some continuity assumptions on F. We show that the Rothe solutions are Lipschitz in time, Hölder in space, and they solve the equation in the viscosity sense. As an immediate corollary we get Lipschitz behavior in time of the viscosity solutions of our equation.
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页码：363 / 372
页数：9
相关论文
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