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General decay and blow-up results for a nonlinear pseudoparabolic equation with Robin-Dirichlet conditions
  • Le Thi Phuong Ngoc,
  • Nguyen Huu Nhan,
  • Nguyen Thanh Long
Le Thi Phuong Ngoc
University of Khanh Hoa

Corresponding Author:[email protected]

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Nguyen Huu Nhan
Nguyen Tat Thanh University
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Nguyen Thanh Long
University of Science, Ho Chi Minh City, Vietnam,
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This paper is devoted to the study of a nonlinear pseudoparabolic equation in an annular with Robin-Dirichlet conditions. At first, by applying the standard Faedo-Galerkin method, we prove existence and uniqueness results. Next, using concavity method, we prove blow-up results for solutions when the initial energy is nonnegative or negative, then we also establish the lifespan for the equation via finding the upper bound and the lower bound for the blow-up times. Finally, we give a sufficient condition for the global existence and decay of weak solutions.
23 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
24 Sep 2020Submission Checks Completed
24 Sep 2020Assigned to Editor
26 Sep 2020Reviewer(s) Assigned
08 Jan 2021Review(s) Completed, Editorial Evaluation Pending
08 Jan 2021Editorial Decision: Revise Major
29 Jan 20211st Revision Received
29 Jan 2021Submission Checks Completed
29 Jan 2021Assigned to Editor
29 Jan 2021Reviewer(s) Assigned
02 Feb 2021Review(s) Completed, Editorial Evaluation Pending
02 Feb 2021Editorial Decision: Accept
09 Mar 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7299