Entropy Solution for a Nonlinear Degenerate Parabolic Problem in Weighted Sobolev Space via Rothe's Time-discretization Approach

被引：0

作者：

Sabri, Abdelali ^{[1
]}

Jamea, Ahmed ^{[2
]}

机构：

[1] Hassan First Univ, Dept Econ, Fac Econ & Management, BP 764, Settat, Morocco

[2] CRMEF Casablanca Settat, Equipe STIE, El Jadida, Morocco

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷

关键词：

Degenerate parabolic problem; entropy solution; existence; semi-discretization; Rothe's method; uniqueness; weighted Sobolev space; ELLIPTIC-EQUATIONS;

D O I：

10.5269/bspm.63558

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence and uniqueness results of an entropy solution to a class of nonlinear degenerate parabolic problem with Dirichlet-type boundary condition and L1 data. The main tool used here is the Rothe's time-discretization approach combined with the theory of weighted Sobolev spaces.

引用

页数：14

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