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
Nguyen Thanh Long
University of Science, Ho Chi Minh City, Vietnam,
Author ProfileAbstract
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