Initial Boundary Value Problem for Pseudo-Parabolic p-Laplacian Type Equation with Logarithmic Nonlinearity

PAN Jia-hui, FANG Shao-mei

doi:10.13371/j.cnki.chin.q.j.m.2023.04.003

Chinese Quarterly Journal of Mathematics >

2023 , Vol. 38 >Issue 4: 360 - 369

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2023.04.003

Initial Boundary Value Problem for Pseudo-Parabolic p-Laplacian Type Equation with Logarithmic Nonlinearity

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College of Mathematics and Information, South China Agricultural University,
Guangzhou 510642, China

PAN Jia-hui (1998-), female, native of Shaoguan, Guangdong, graduate student of South China Agricultural University, engages in partial differential equation; FANG Shao-mei (1964-), female, native of Guangzhou, Guangdong, professor of South China Agricultural University, engages in partial differential equation.

Received date: 2022-07-29

Online published: 2023-12-15

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 11271141).

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Abstract

In this paper, we study the initial boundary value problem of pseudo-parabolic p-Laplacian type equation, which be use to model some important physical and biological phenomena. By using the potential well method, we obtain the global existence, asymptotic behavior and blow up results of weak solution with subcritical initial energy. Then we also extend these results to the critical initial energy.

Key words： Pseudo-parabolic equation; p-Laplacian; Logarithmic nonlinearity

Cite this article

PAN Jia-hui, FANG Shao-mei . Initial Boundary Value Problem for Pseudo-Parabolic p-Laplacian Type Equation with Logarithmic Nonlinearity[J]. Chinese Quarterly Journal of Mathematics, 2023 , 38(4) : 360 -369 . DOI: 10.13371/j.cnki.chin.q.j.m.2023.04.003

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