Abstract
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.
Lingua originale | English |
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pagine (da-a) | 1-15 |
Numero di pagine | 15 |
Rivista | Asymptotic Analysis |
DOI | |
Stato di pubblicazione | Pubblicato - 2020 |
Keywords
- Nonexistence results, hyperbolic problems