非线性记忆项的Euler-Poisson-Darboux-Tricomi方程解的爆破

Abstract

Abstract:

Blow-up phenomenon of solutions to the Euler-Poisson-Darboux-Tricomi equation with a nonlinear memory term in the subcritical case is studied. By using functional methods associated with a modified Bessel equation, an iteration frame and the first lower bound are derived. Then, nonexistence of global solutions to the Cauchy problem for the Euler-Poisson-Darboux-Tricomi equation and an upper bound estimate of solutions for the lifespan are obtained via the iteration technique.

Key words: Nonlinear memory term, Euler-Poisson-Darboux-Tricomi equation, Blow-up

CLC Number:

O175.2

Ouyang Baiping. Blow-up of Solutions to the Euler-Poisson-Darboux-Tricomi Equation with a Nonlinear Memory Term[J].Acta mathematica scientia,Series A, 2023, 43(1): 169-180.

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References 24

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Blow-up of Solutions to the Euler-Poisson-Darboux-Tricomi Equation with a Nonlinear Memory Term

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