4.5 Article

ASYMPTOTIC BEHAVIOR OF THE NONLINEAR DAMPED SCHRODINGER EQUATION

Journal

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 147, Issue 2, Pages 763-773

Publisher

AMER MATHEMATICAL SOC
DOI: 10.1090/proc/14276

Keywords

Exponential scattering; damped Schrodinger equation

Funding

  1. JSPS [JP18K13444]

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We are interested in the asymptotic behavior of the solution to the nonlinear damped Schrodinger equation (NLDS). In the present paper, we discuss when the global solutions to NLDS exponentially scatter to linear damped solutions. Moreover, we also show the additional time decay order.

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