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Lifespan of semilinear generalized Tricomi equation with Strauss type exponent

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arxiv 1903.11351 v2 pith:HD2SWLIR submitted 2019-03-27 math.AP

Jiayun Lin , Ziheng Tu This is my paper · ORCID
classification math.AP
keywords equationcasecriticalgeneralizedsemilineartricomiblow-upexponent
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In this paper, we consider the blow-up problem of semilinear generalized Tricomi equation. Two blow-up results with lifespan upper bound are obtained under subcritical and critical Strauss type exponent. In the subcritical case, the proof is based on the test function method and the iteration argument. In the critical case, an iteration procedure with the slicing method is employed. This approach has been successfully applied to the critical case of semilinear wave equation with perturbed Laplacian or the damped wave equation of scattering damping case. The present work gives its application to the generalized Tricomi equation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lifespan estimate for the semilinear regular Euler-Poisson-Darboux-Tricomi equation

    math.AP 2025-02 conditional novelty 6.0 of 10

    Blow-up and a lifespan upper bound are established for the semilinear Euler-Poisson-Darboux-Tricomi equation at the Strauss critical exponent, using a new hypergeometric test function.

  2. Appearance of Strauss-type exponent in semilinear wave equations with time-dependent speed of propagation

    math.AP 2024-12 conditional novelty 6.0 of 10

    Small data blow up before time C epsilon^{-2p(p-1)/((1+alpha)gamma)} for u_tt - a(t)^2 Delta u + b(t) u_t = |u|^p whenever p is below the generalized Strauss exponent.

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