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Pullback D-attractors for doubly nonlinear parabolic equations
  • Yongjun Li,
  • Jinying Wei,
  • Li Chen
Yongjun Li
Lanzhou City University
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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 2022Assigned to Editor
09 Aug 2022Submission Checks Completed
19 Aug 2022Reviewer(s) Assigned