On Lewy Stampacchia inequalities for a pseudomonotone parabolic obstacle problem with L 1-data

被引：1
作者：
Guibe, Olivier [1 ]
Tahraoui, Yassine [2 ]
Vallet, Guy [3 ]
机构：
[1] Univ Rouen Normandie, Normandie Univ, CNRS, LMRS UMR 6085, F-76000 Rouen, France
[2] NOVA, Ctr Math & Applicat NovaMath, SST, Lisbon, Portugal
[3] IPRA, UMR CNRS 5142, LMAP, BP 1155, F-64013 Pau, France
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 77卷
关键词：
Obstacle problems; Variational inequalities; Pseudomonotone operator; Lewy Stampacchia inequality; Entropy solution; Renormalized solution; RENORMALIZED SOLUTIONS; EXISTENCE; EQUATIONS; UNIQUENESS; ENTROPY;
D O I：
10.1016/j.nonrwa.2023.104030
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 the existence of entropy solution, and the associated Lewy-Stampacchia inequalities in a renormalized form, to some parabolic obstacle problems governed by a Leray-Lions pseudomonotone operator in the presence of L-1-data and homogeneous Dirichlet boundary conditions.
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页数：28
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