Global existence and blow-up for semilinear damped wave equations in three space dimensions

Masakazu Kato; Miku Sakuraba

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arXiv · 1807.04327

Global existence and blow-up for semilinear damped wave equations in three space dimensions

Masakazu Kato·Miku Sakuraba

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Abstract

We consider initial value problem for semilinear damped wave equations in three space dimensions. We show the small data global existence for the problem without the spherically symmetric assumption and obtain the sharp lifespan of the solutions. This paper is devoted to a proof of the Takamura's conjecture on the lifespan of solutions.

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Masakazu Kato, Miku Sakuraba. 2018-07-11. Global existence and blow-up for semilinear damped wave equations in three space dimensions. https://arxiv.org/abs/1807.04327

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