Fujita type theorems for quasilinear parabolic equations with initial data slowly decaying to zero

被引：13

作者：

Afanas'eva, NV ^{[1
]}

Tedeev, AF ^{[1
]}

机构：

[1] Ukrainian Natl Acad Sci, Appl Math & Mech Inst, Donetsk, Ukraine

来源：

SBORNIK MATHEMATICS | 2004年 / 195卷 / 3-4期

关键词：

D O I：

10.1070/sm2004v195n04abeh000812

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work deals with the Cauchy problem for a parabolic equation with a double non-linearity of the following type: u(t) = div(u(alpha)\Du\(m-1) Du) + u(p), where 0 < m + alpha less than or equal to 1. Existence and non-existence results for global solutions of this problem with initial conditions that slowly decay to zero are established.

引用

页码：459 / 478

页数：20

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