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

共 50 条

[1] Existence and regularity results of parabolic problems with convection term and singular nonlinearity
El Ouardy, Mounim
El Hadfi, Youssef
Sbai, Abdelaaziz
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2024, 43 (3-4): : 299 - 328
[2] Existence and regularity results for some nonlinear singular parabolic problems with absorption terms
El Ouardy, Mounim
El Hadfi, Youssef
Sbai, Abdelaaziz
MONATSHEFTE FUR MATHEMATIK, 2024, 203 (03): : 583 - 612
[3] Existence and regularity results for a class of singular parabolic problems with L1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^1$$\end{document} data
Ida de Bonis
Maria Michaela Porzio
Nonlinear Differential Equations and Applications NoDEA, 2024, 31 (4)
[4] Existence and regularity results for some nonlinear singular parabolic problems with absorption terms
Mounim El Ouardy
Youssef El Hadfi
Abdelaaziz Sbai
Monatshefte für Mathematik, 2024, 203 : 583 - 612
[5] Existence and regularity results for a class of parabolic problems with double phase flux of variable growth
Arora, Rakesh
Shmarev, Sergey
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (01)
[6] QUENCHING PHENOMENON OF SINGULAR PARABOLIC PROBLEMS WITH L1 INITIAL DATA
Anh Nguyen Dao
Ildefonso Diaz, Jesus
Sauvy, Paul
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[7] Existence, uniqueness and behavior of solutions for a class of nonlinear parabolic problems
Porzio, Maria Michaela
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) : 5359 - 5382
[8] EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF PARABOLIC EQUATIONS WITH NATURAL GROWTH TERMS AND L1 DATA
AMMAR, Kaouther
REDWANE, Hicham
ACTA MATHEMATICA SCIENTIA, 2014, 34 (04) : 1127 - 1144
[9] T-minima for nonlinear parabolic problems: a variational approach for L1 data
Boccardo, Lucio
Orsina, Luigi
Porzio, Maria Michaela
JOURNAL OF EVOLUTION EQUATIONS, 2018, 18 (04) : 1843 - 1852
[10] Existence results of weak periodic solution for some quasilinear parabolic problem with L1 data
Charkaoui, Abderrahim
Kouadri, Ghada
Selt, Omar
Alaa, Nour Eddine
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2019, 46 (01): : 66 - 77

← 1 2 3 4 5 →