Asymptotics of solutions of the fourth order Schrödinger type equation with a dissipative nonlinearity

DOI10.1215/kjm/1250281786zbMath1116.35113OpenAlexW1489899196MaRDI QIDQ866483

Akihiro Shimomura, Jun-Ichi Segata

Publication date: 20 February 2007

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250281786

zbMATH Keywords

existencegiven final statelong-range interactionlocal Cauchy problem at infinite initial time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (5)

Scattering operator for the fourth order nonlinear Schrödinger equation ⋮ Asymptotic properties of solutions to dispersive equation of Schrödinger type ⋮ Scattering of solutions to the fourth-order nonlinear Schrödinger equation ⋮ Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line

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