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Pullback D-attractors for doubly nonlinear parabolic equations
  • Yongjun Li,
  • Jinying Wei,
  • Li Chen
Yongjun Li
Lanzhou City University

Corresponding Author:li_liyong120@163.com

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Jinying Wei
Lanzhou City University
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Li Chen
Lanzhou City University
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Abstract

In this paper, we study a class of doubly nonlinear parabolic equations (1.1). The nonlinearity B(u) brings great difficulties to the study of the problem. First we show that the problem has a unique solution. Then we prove that the process corresponding to the problem is norm-to-weak continuous. After that, by using Legendre transform, we obtain uniform estimates and asymptotic compactness properties that allow us to ensure the existence of pullback D-attractors for the associated process to the problem
07 Aug 2022Submitted to Mathematical Methods in the Applied Sciences
09 Aug 2022Submission Checks Completed
09 Aug 2022Assigned to Editor
19 Aug 2022Reviewer(s) Assigned
07 Nov 2022Review(s) Completed, Editorial Evaluation Pending
07 Nov 2022Editorial Decision: Revise Minor
08 Nov 20221st Revision Received
08 Nov 2022Submission Checks Completed
08 Nov 2022Assigned to Editor
08 Nov 2022Review(s) Completed, Editorial Evaluation Pending
08 Nov 2022Reviewer(s) Assigned
23 Nov 2022Editorial Decision: Accept