Year: 2024
Type: article
Abstract: In this study, the initial and periodic boundary value problem were solved for the following fourthorder pseudo-parabolic equation with gradient non-linearity and pseudo-termwhere a ≥ 0. A local existence-uniqueness result for mild solutions was found for any initial data in L 2 ( ) W .In addition, the existence of blow-up solutions was proved and a lower bound for the blow-up time was obtained.
Source: Results in Nonlinear Analysis
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4402273926