Existence and regularity results for a class of singular parabolic problems with L1

被引：0

作者：

de Bonis, Ida ^{[1
]}

Porzio, Maria Michaela ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Pianificaz Design Tecnol Architettura, Via Flaminia 72, I-00196 Rome, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2024年 / 31卷 / 04期

关键词：

Nonlinear parabolic equations; Singular lower order terms; Degenerate parabolic equations; Decay estimates; Asymptotic behavior; SEMILINEAR ELLIPTIC PROBLEM; EQUATIONS; DEFINITION; UNIQUENESS; BEHAVIOR;

D O I：

10.1007/s00030-024-00935-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove existence and regularity results for a class of parabolic problems with irregular initial data and lower order terms singular with respect to the solution. We prove that, even if the initial datum is not bounded but only in L-1( Omega ) , there exists a solution that "instantly" becomes bounded. Moreover we study the behavior in time of these solutions showing that this class of problems admits global solutions which all have the same behavior in time independently of the size of the initial data.

引用

页数：24

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