CONSERVATION OF THE MASS FOR SOLUTIONS TO A CLASS OF SINGULAR PARABOLIC EQUATIONS

被引：5

作者：

Fino, Ahmad Z. ^{[1
]}

Duzgun, Fatma Gamze ^{[2
]}

Vespri, Vincenzo ^{[3
]}

机构：

[1] Beirut Arab Univ, Fac Sci, Dept Math & Comp Sci, Beirut, Lebanon

[2] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey

[3] Univ Florence, Dipartimento Matemat & Informat Ulisse Dini, I-50134 Florence, Italy

来源：

KODAI MATHEMATICAL JOURNAL | 2014年 / 37卷 / 03期

关键词：

Singular Parabolic Equations; Cauchy problem; Conservation of the L-1 norm; RENORMALIZED SOLUTIONS;

D O I：

10.2996/kmj/1414674606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with the Cauchy problem associated to a class of quasilinear singular parabolic equations with L-infinity coefficients, whose prototypes are the p-Laplacian (2N/N+1 < p < 2) and the Porous medium equation ((N-2/N)(+) < m < 1). In this range of the parameters p and m, we are in the so called fast diffusion case. We prove that the initial mass is preserved for all the times.

引用

页码：519 / 531

页数：13

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