具有梯度约束和L1数据的非齐次Orlicz-Sobolev空间中的抛物不等式

Q3 Mathematics

Moroccan Journal of Pure and Applied Analysis Pub Date : 2022-09-01 DOI:10.2478/mjpaa-2022-0023

S. Ajagjal

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引用次数: 0

摘要

本文研究了具有梯度约束和L1数据的非齐次Orlicz空间中的一类新的抛物型问题。通过研究非齐次Orlicz-Sobolev空间中一类非线性抛物型方程的熵解（up）序列在p到∞时的渐近行为，证明了解的存在性。

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Parabolic inequalities in inhomogeneous Orlicz-Sobolev spaces with gradients constraints and L1-data

Abstract This work is devoted to the study of a new class of parabolic problems in inhomogeneous Orlicz spaces with gradient constraints and L1-data. One proves the existence of the solution by studying the asymptotic behaviour as p goes to ∞, of a sequence of entropy solutions (up) of some nonlinear parabolic equation in inhomogeneous Orlicz-Sobolev spaces with L1-data involving the parameter p.

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来源期刊

Moroccan Journal of Pure and Applied Analysis Mathematics-Numerical Analysis

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks