Noncoercive parabolic obstacle problems

Author:

Farroni Fernando1,Greco Luigi1,Moscariello Gioconda1,Zecca Gabriella1

Affiliation:

1. Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università degli Studi di Napoli Federico II , Complesso Monte S. Angelo , via Cinthia, I-80126 Napoli , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Reference33 articles.

1. A. Alvino, Sulla disuguaglianza di Sobolev in Spazi di Lorentz, Boll. Un. Mat. It. A 14 (1977), no. 5, 148–156.

2. H. W. Alt and S. Luckhaus, Quasi-linear elliptic-parabolic differential equations, Math. Z. 183 (1983), no. 3, 311–341.

3. C. Bennett and R. Sharpley, Interpolation of Operators, Academic Press, Cambridge, 1988.

4. A. Bensoussan and J.-L. Lions, Applications of Variational Inequalities in Stochastic Control, Studies in Mathematics and its Applications, vol. 12, North-Holland Publishing, Amsterdam-New York, 1982.

5. L. Boccardo, L. Orsina, and M. M. Porzio, Regularity results and asymptotic behavior for a noncoercive parabolic problem, J. Evol. Equ. 21 (2021), no. 2, 2195–2211.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Regularity results for solutions to elliptic obstacle problems in limit cases;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2024-05-16

2. Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in BMO;Calculus of Variations and Partial Differential Equations;2024-04-04

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3