On some nonlinear parabolic equations with variable exponents and measure data-Reference-Cited by-同舟云学术

On some nonlinear parabolic equations with variable exponents and measure data

Published:2020-05-29 Issue:1 Volume:6 Page:93-117
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Hamdaoui Bouchra El¹,Bennouna Jaouad¹

Affiliation:

1. Université Sidi Mohammed Ben Abdellah , Département de Mathématiques, Laboratoire LAMA, Faculté des Sciences Dhar-Mahrez , B.P 1796 Atlas Fés . Morocco .

Abstract

Abstract We prove the existence of renormalized solutions to a class of nonlinear evolution equations, supplemented with initial and Dirichlet condition in the framework of generalized Sobolev spaces. The data are assumed merely integrable.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2020-0008

Reference37 articles.

1. [1] A. Aberqi, J. Bennouna, M. Mekkour and H. Redwane, Nonlinear parabolic inequalities with lower order terms, Applicable Analysis(2016), DOI: 10.1080/00036811.2016.1205186

2. [2] A. Almeida, P. Hasto, Besov spaces with variable smoothness and integrability. J. Funct. Anal. 258 no. 5, 162-165 (2010).

3. [3] A. Almeida, P. Hasto, Interpolation in variable exponent spaces, to appear in Rev. Mat. Complut.

4. [4] E. Azroul, H. Hjiaj and B. Lahmi, Existence of entropy solutions for some strongly nonlinear p(x) -parabolic problems with L1-data, An. Univ. Craiova Ser. Mat. Inform. 42(2) (2015) 273-299.

5. [5] M. Bendahmane, P. Wittbold, Renormalized solutions for nonlinear elliptic equations with variable exponents and L1data, Nonlinear Anal. 70 (2) (2009) 567–583.

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