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arXiv:2104.08497 [math.AP]AbstractReferencesReviewsResources

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

Mengyun Liu

Published 2021-04-17Version 1

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.

Comments: 10pages. arXiv admin note: substantial text overlap with arXiv:1912.02561
Categories: math.AP
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arXiv:1912.02561 [math.AP] (Published 2019-12-05)
Blow up for small-amplitude semilinear wave equations with mixed nonlinearities on asymptotically Euclidean manifolds
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