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arXiv · 2104.08497

Lifespan estimates for wave equations with damping and potential posed on asymptotically Euclidean manifolds

Mengyun Liu
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Abstract

In this work, we investigate the problem of finite time blow up as well as the upper bound estimates of lifespan for solutions to small-amplitude semilinear wave equations with time dependent damping and potential, and mixed nonlinearities $c_1 |u_t|^p+c_2 |u|^q$, posed on asymptotically Euclidean manifolds, which is related to both the Strauss conjecture and the Glassey conjecture.

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Mengyun Liu. 2021-04-17. Lifespan estimates for wave equations with damping and potential posed on asymptotically Euclidean manifolds. https://arxiv.org/abs/2104.08497

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