Exponential asymptotic stability for the Klein Gordon equation on non-compact Riemannian manifolds

DOI10.1007/s00245-017-9405-5zbMath1404.58039OpenAlexW2592315013WikidataQ111288190 ScholiaQ111288190MaRDI QIDQ1630404

Marcelo Moreira Cavalcanti, César Augusto Bortot, Valéria Neves Domingos Cavalcanti, Paolo Piccione

Publication date: 10 December 2018

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-017-9405-5

zbMATH Keywords

Riemannian manifoldpinching conditionsKlein Gordon equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Hyperbolic equations on manifolds (58J45) Second-order quasilinear hyperbolic equations (35L72) PDEs on manifolds (35R01)

Related Items (12)

Stabilization of the critical semilinear Klein-Gordon equation in compact space ⋮ Existence, uniqueness, and exponential stability for the Kirchhoff equation in whole hyperbolic space ⋮ Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth ⋮ Exponential decay for semilinear wave equation with localized damping in the hyperbolic space ⋮ Stabilization of the critical semilinear wave equation on non-compact Riemannian manifold ⋮ Asymptotic behavior of the coupled Klein–Gordon–Schrödinger systems on compact manifolds ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Exponential stabilization of the wave equation on hyperbolic spaces with nonlinear locally distributed damping ⋮ Stabilization of the critical semilinear wave equation with Dirichlet-Neumann boundary condition on bounded domain ⋮ Unnamed Item ⋮ Stabilization of the transmission wave/plate equation with variable coefficients on \({\mathbb{R}}^n \) ⋮ Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping

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