Asymptotic behavior for solutions to the dissipative nonlinear Schrödinger equations with the fractional Sobolev space

DOI10.1063/1.5125161zbMath1431.35174OpenAlexW2989713842MaRDI QIDQ5206023

Gaku Hoshino

Publication date: 17 December 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5125161

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (8)

Large time behavior of solutions to the critical dissipative nonlinear Schrödinger equation with large data ⋮ \(\mathbf{L^2}\)-decay rate for the critical nonlinear Schrödinger equation with a small smooth data ⋮ \(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations ⋮ \(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class ⋮ On the derivative nonlinear Schrödinger equation with weakly dissipative structure ⋮ Lower bound estimate for the dissipative nonlinear Schrödinger equation ⋮ Upper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equations ⋮ Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials

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