Nonexistence for hyperbolic problems on Riemannian manifolds1

DOI10.3233/ASY-191580zbMath1460.35364arXiv1807.07316WikidataQ115222777 ScholiaQ115222777MaRDI QIDQ5151335

Fabio Punzo, Marco Squassina, Dario Daniele Monticelli

Publication date: 17 February 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07316

zbMATH Keywords

wave equationhyperbolic problemsnonexistence of solutions

Mathematics Subject Classification ID

Wave equation (35L05) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Partial differential equations of mathematical physics and other areas of application (35Q99) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

Instantaneous blow-up for nonlinear Sobolev type equations with potentials on Riemannian manifolds ⋮ Nonexistence for nonlinear hyperbolic inequalities in an annulus ⋮ Nonexistence of solutions to higher order evolution inequalities with nonlocal source term on Riemannian manifolds ⋮ Existence and nonexistence criteria for a system of biharmonic wave inequalities in an exterior domain of ℝN ⋮ Liouville theorems for semilinear differential inequalities on sub-Riemannian manifolds ⋮ Nonexistence for time-fractional wave inequalities on Riemannian manifolds ⋮ On the critical curve for systems of hyperbolic inequalities in an exterior domain of the half-space ⋮ Hyperbolic inequalities involving nonlinear convolution terms on Riemannian manifolds

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