Nonexistence for hyperbolic problems on Riemannian manifolds

Dario Monticelli; Fabio Punzo; Marco Squassina

doi:10.3233/ASY-191580

Nonexistence for hyperbolic problems on Riemannian manifolds

Dario Monticelli
, Fabio Punzo
, Marco Squassina^*

^*Autore corrispondente per questo lavoro

Polytechnic University of Milan

Risultato della ricerca: Contributo in rivista › Articolo

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	Inglese
pagine (da-a)	1-15
Numero di pagine	15
Rivista	Asymptotic Analysis
Numero di pubblicazione	N/A
DOI	https://doi.org/10.3233/ASY-191580
Stato di pubblicazione	Pubblicato - 2020

All Science Journal Classification (ASJC) codes

Matematica generale

Keywords

Nonexistence results
hyperbolic problems

Accesso al documento

10.3233/ASY-191580

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title = "Nonexistence for hyperbolic problems on Riemannian manifolds",

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.",

keywords = "Nonexistence results, hyperbolic problems, Nonexistence results, hyperbolic problems",

author = "Dario Monticelli and Fabio Punzo and Marco Squassina",

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AU - Monticelli, Dario

AU - Punzo, Fabio

AU - Squassina, Marco

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AB - 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.

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KW - hyperbolic problems

KW - Nonexistence results

KW - hyperbolic problems

UR - https://publicatt.unicatt.it/handle/10807/154902

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Nonexistence for hyperbolic problems on Riemannian manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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