非强制抛物型障碍问题

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0322

F. Farroni, L. Greco, G. Moscariello, Gabriella Zecca

引用次数: 0

摘要

摘要证明了一类对流项系数为奇异的对流扩散抛物方程障碍问题的存在性。我们的算子是非强制的，障碍函数是随时间变化的不规则的，低阶项的系数属于边界混合Lebesgue-Marcinkiewicz空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Noncoercive parabolic obstacle problems

Abstract We prove an existence result for obstacle problems related to convection-diffusion parabolic equations with singular coefficients in the convective term. Our operator is not coercive, the obstacle function is time-dependent irregular, and the coefficients in the lower-order term belong to a borderline mixed Lebesgue-Marcinkiewicz space.

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.