Some classes of inverse evolution problems for parabolic equations

被引：0
作者：
S. G. Pyatkov
B. N. Tsybikov
机构：
[1] Ugra State University,
来源：
Siberian Mathematical Journal | 2009年 / 50卷
关键词：
inverse problem; overdetermination condition; parabolic equation of second order; initial-boundary value problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the problem of simultaneously determining coefficients of a second order nonlinear parabolic equation and a solution to this equation. The unknown coefficients occur in the main part and in the nonlinear summand as well. The overdetermination conditions are conditions of the Dirichlet type on a family of planes of arbitrary dimension. It is demonstrated that the problem in question is solvable locally in time in Hölder spaces. When the unknown functions enter the right-hand side and the equation is linear, the theorem of global unique existence (in time) is established.
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页码：141 / 153
页数：12
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