On the non-uniqueness of weak solutions of the nonlinear heat equation with nonlinearity u3

被引：8

作者：

Terraneo, E ^{[1
]}

机构：

[1] Univ Evry, Dept Math, F-91025 Evry, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1999年 / 328卷 / 09期

关键词：

D O I：

10.1016/S0764-4442(99)80267-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove for some singular initial data the existence of a solution u(t) = u(0) + v(t) is an element of C([0, T]; L-3(R-3)) of the nonlinear heat equation with nonlinearity u(3), which is not equal to Weissler's solution. The proof lies on the study of the perturbed equation on v(t) in weak-L-G. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：759 / 762

页数：4