On the Schrödinger Equation with Dissipative Nonlinearities of Derivative Type

DOI10.1137/070689103zbMath1168.35434OpenAlexW2040421473MaRDI QIDQ3609046

Hideaki Sunagawa, Pavel I. Naumkin, Nakao Hayashi

Publication date: 6 March 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1398762fe3149cb7c0c40b1847e5fdd8e94e7eaf

zbMATH Keywords

Schrödinger equationdissipative nonlinearityderivative coupling

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (12)

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮ The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension ⋮ Remarks on global behavior of solutions to nonlinear Schrödinger equations ⋮ Small data blow-up for a system of nonlinear Schrödinger equations ⋮ The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions ⋮ Asymptotic behavior for a class of derivative nonlinear Schrödinger systems ⋮ Null structure in a system of quadratic derivative nonlinear Schrödinger equations ⋮ Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data ⋮ On the derivative nonlinear Schrödinger equation with weakly dissipative structure ⋮ Final state problem for the nonlocal nonlinear Schrödinger equation with dissipative nonlinearity ⋮ A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension ⋮ Upper and lower \(L^2\)-decay bounds for a class of derivative nonlinear Schrödinger equations

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