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Applicable Analysis
An International Journal
Volume 102, 2023 - Issue 9
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Research Article

Global solutions of a fractional semilinear pseudo-parabolic equation with nonlocal source

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Pages 2486-2499 | Received 18 Oct 2021, Accepted 05 Jan 2022, Published online: 25 Jan 2022
 

Abstract

In this paper, the initial boundary value problem for a fractional nonlocal semilinear pseudo-parabolic equation is established. Firstly, we get the local solution by the standard Galerkin method and the priori estimates. Next, by applying potential well argument, the existence and uniqueness of the global solution are proved for initial energy J(u0)d.

2020 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (No. 11271141) and the Chongqing Science and Technology Commission (cstc2018jcyjAX0787).

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