POINTWISE ESTIMATES FOR THE FUNDAMENTAL SOLUTIONS OF A CLASS OF SINGULAR PARABOLIC PROBLEMS

被引：7

作者：

Ragnedda, F. ^{[1
]}

Piro, S. Vernier ^{[1
]}

Vespri, V. ^{[2
]}

机构：

[1] Dipartimento Matemat & Informat, I-09123 Cagliari, Italy

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2013年 / 121卷

关键词：

LARGE TIME BEHAVIOR; RENORMALIZED SOLUTIONS; EQUATIONS; REGULARITY;

D O I：

10.1007/s11854-013-0034-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the Cauchy problem associated to a class of quasilinear singular parabolic equations with L (a) coefficients whose prototypes are the p-Laplacian (2N/(N + 1) < p < 2) and the porous medium equation (((N - 2)/N)(+) < m < 1). We prove existence of and sharp pointwise estimates from above and from below for the fundamental solutions. Our results can be extended to general non-negative L (1) initial data.

引用

页码：235 / 253

页数：19

共 31 条

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