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arXiv · 1805.06769

Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity

Alessandro Palmieri·Ziheng Tu
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Abstract

In this paper, we study the blow-up of solutions for semilinear wave equations with scale-invariant dissipation and mass in the case in which the model is somehow 'wave-like'. A Strauss type critical exponent is determined as the upper bound for the exponent in the nonlinearity in the main theorems. Two blow-up results are obtained for the sub-critical case and for the critical case, respectively. In both cases, an upper bound lifespan estimate is given.

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Alessandro Palmieri, Ziheng Tu. 2018-05-17. Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity. https://doi.org/10.1016/j.jmaa.2018.10.015

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