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arXiv · 2201.10729

On a semilinear wave equation in anti-de Sitter spacetime: the critical case

Alessandro Palmieri·Hiroyuki Takamura
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Abstract

In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the critical case. According to this purpose, we combine an ODI result with an iteration argument, by using an explicit integral representation formula for the solution to a linear Cauchy problem associated with the wave equation in anti-de Sitter spacetime in one space dimension.

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Alessandro Palmieri, Hiroyuki Takamura. 2022-01-26. On a semilinear wave equation in anti-de Sitter spacetime: the critical case. https://doi.org/10.1063/5.0086614

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