Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms

From MaRDI portal
Publication:2497086

DOI10.2969/jmsj/1149166781zbMath1107.35087OpenAlexW2064834402MaRDI QIDQ2497086

Hideaki Sunagawa

Publication date: 1 August 2006

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1149166781




Related Items (30)

Energy decay for small solutions to semilinear wave equations with weakly dissipative structureOptimal L 2 -decay of solutions to a cubic dissipative nonlinear Schrödinger equationThe lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimensionExistence of global decaying solutions to the exterior problem for the Klein-Gordon equation with a nonlinear localized dissipation and a derivative nonlinearityLarge time behavior of solutions to the critical dissipative nonlinear Schrödinger equation with large dataModified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensionsLong Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity\(\mathbf{L^2}\)-decay rate for the critical nonlinear Schrödinger equation with a small smooth dataOn asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimensionBounded almost global solutions for non Hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfacesA note on a system of cubic nonlinear Klein-Gordon equations in one space dimensionModified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensionsThe energy decay and asymptotics for a class of semilinear wave equations in two space dimensions\(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equationsLong-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentialsOptimal \(L^2\)-decay of solutions to the dissipative nonlinear Schrödinger equation in higher space dimensions\(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey classRemarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearitiesEnergy decay for a nonlinear generalized Klein-Gordon equation in exterior domains with a nonlinear localized dissipative termLower bounds of the lifespan of small data solutions to the nonlinear Schrödinger equationsSemiclassical microlocal normal forms and global solutions of modified one-dimensional KG equationsFinal state problem for the cubic nonlinear Klein–Gordon equationGlobal small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonanceAsymptotics of odd solutions for cubic nonlinear Schrödinger equationsFinal state problem for the nonlocal nonlinear Schrödinger equation with dissipative nonlinearityLower bound estimate for the dissipative nonlinear Schrödinger equationRegularity and scattering for the wave equation with a critical nonlinear dampingSCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONSUpper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equationsAsymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials




This page was built for publication: Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms