Publication Date:
2020-10-06
Description:
We establish necessary conditions for the existence of solutions to a class of semilinear hyperbolic problems defined 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.
Print ISSN:
0921-7134
Electronic ISSN:
1875-8576
Topics:
Mathematics
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