On Stabilization of the Solution of the Cauchy Problem for a Parabolic Equation with a Lower Order Coefficient and a Growing Initial Function

被引：0

作者：

V. N. Denisov

机构：

来源：

Journal of Mathematical Sciences | 2004年 / 120卷 / 3期

关键词：

Differential Equation; Partial Differential Equation; Cauchy Problem; Lower Order; Parabolic Equation;

D O I：

10.1023/B:JOTH.0000016051.61775.e7

中图分类号：

学科分类号：

摘要：

The paper deals with the study of sufficient conditions on the coefficients of a second-order partial differential equation, ensuring the stabilization to zero of the solution of the Cauchy problem uniformly in x on any compact set K ⊂ ℝN for any continuous initial function u0(x), growing at infinity not faster than some power of |x|m, m > 0.

引用

页码：1313 / 1327

页数：14

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