EXISTENCE AND REGULARITY RESULTS FOR A SINGULAR PARABOLIC EQUATIONS WITH DEGENERATE COERCIVITY

被引：17

作者：

El Ouardy, Mounim ^{[1
]}

El Hadfi, Youssef ^{[1
]}

Ifzarne, Aziz ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Natl Sch Appl Sci Khouribga, Lab LIPIM, Khouribga, Morocco

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2022年 / 15卷 / 01期

关键词：

Singular parabolic problems; degenerate coercivity; existence; regularity; lower order term; ELLIPTIC-EQUATIONS;

D O I：

10.3934/dcdss.2021012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove existence and regularity of solutions for the following nonlinear singular parabolic problem {partial derivative u/partial derivative t - div(a(x,t,u,del u)/(1+vertical bar u vertical bar)theta(p-1)) + g(x,t,u) = f/u gamma in Q, u(x,0) = 0 on Omega, u=0 on Gamma, Here Omega is a bounded open subset of R-N(N > p >= 2), T > 0 and f is a non-negative function that belong to some Lebesgue space, f is an element of L-m(Q), Q = Omega x (0,T), Gamma - partial derivative Omega x (0,T), g(x,t,u) - vertical bar u vertical bar(s-1) u, s >= 1, 0 <= theta < 1 and 0 < gamma < 1.

引用

页码：117 / 141

页数：25

共 25 条

[1] Nonlinear parabolic equations with measure data [J].

Boccardo, L ;

DallAglio, A ;

Gallouet, T ;

Orsina, L .

JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 147 (01) :237-258

[2]

Boccardo L., 1999, Adv. Math. Sci. Appl, V9, P1017

[3]

Boccardo L, 2001, ELECTRON J DIFFER EQ

[4] L(infinity)-solutions for some nonlinear degenerate elliptic and parabolic equations. [J].

Cirmi, GR ;

Porzio, MM .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1995, 169 :67-86

[5]

DALLAGLIO A, 1992, DIFFERENTIAL INTEGRA, V5, P1335

[6]

de Bonis I, 2014, DIFFER INTEGRAL EQU, V27, P949

[7] On the Regularizing Effect of Some Absorption and Singular Lower Order Terms in Classical Dirichlet Problems with L 1 Data [J].

De Cave L.M. ;

Oliva F. .

Journal of Elliptic and Parabolic Equations, 2016, 2 (1-2) :73-85

[8] Elliptic equations with general singular lower order term and measure data [J].

De Cave, Linda Maria ;

Oliva, Francescantonio .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 128 :391-411

[9] Nonlinear elliptic equations with singular nonlinearities [J].

De Cave, Linda Maria .

ASYMPTOTIC ANALYSIS, 2013, 84 (3-4) :181-195

[10] Existence and regularity results for parabolic equations with degenerate coercivity [J].

El Hadfi, Y. ;

Benkirane, A. ;

Youssfi, A. .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (05) :715-729

← 1 2 3 →