REGULARITY AND TIME BEHAVIOR OF THE SOLUTIONS OF LINEAR AND QUASILINEAR PARABOLIC EQUATIONS

被引：0

作者：

Porzio, Maria Michaela ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat Guido Castelnuovo, Piazzale A Moro 2, I-00185 Rome, Italy

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2018年 / 23卷 / 5-6期

关键词：

DECAY PROPERTIES; EXISTENCE; DEGENERATE; UNIQUENESS; UNIFORM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the regularity, the uniqueness and the asymptotic behavior of the solutions to a class of nonlinear operators in dependence of the sununability properties of the datum f and of the initial datum u(0). The case of only summable data f and u(0) is allowed. We prove that these equations satisfy surprising regularization phenomena. Moreover, we prove estimates (depending continuously from the data) that for zero datum f become well known decay (or ultracontractive) estimates.

引用

页码：329 / 372

页数：44

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