Pseudoparabolic equations with variable exponents and coefficients: blow-up and large time behaviors

Khompysh K.
2023 Taylor and Francis Ltd.

Applicable Analysis
2023 #102 Issue 6 1786 - 1797 pp.

In this paper, the following nonlinear generalized pseudoparabolic equation with variable exponents and coefficients is considered: (Formula presented.) Under suitable assumptions on the specified initial data and the variable exponents q, p, m, and the coefficients (Formula presented.), the finite-time blow-up and large time behavior (exponential and power decay) of the weak solutions are established.

blow-up , large time behavior , Pseudoparabolic , variable coefficients , variable exponents

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Al-Farabi Kazakh National University, Almaty, Kazakhstan

Al-Farabi Kazakh National University

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