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arXiv · 1807.07316

Nonexistence for hyperbolic problems on Riemannian manifolds

Dario D. Monticelli·Fabio Punzo·Marco Squassina
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Abstract

We establish necessary conditions for the existence of solutions to a class of semilinear hyperbolic problems on complete noncompact Riemannian manifolds, extending some nonexistence results for the wave operator with power nonlinearity on the whole Euclidean space. A general weight function depending on spacetime is allowed in front of the power nonlinearity.

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Dario D. Monticelli, Fabio Punzo, Marco Squassina. 2018-07-19. Nonexistence for hyperbolic problems on Riemannian manifolds. https://arxiv.org/abs/1807.07316

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