Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>d</mi></msup><mo>×</mo><mi mathvariant="double-struck">T</mi></mrow></semantics></math></inline-formula>

Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>d</mi></msup><mo>×</mo><mi mathvariant="double-struck">T</mi></mrow></semantics></math></inline-formula>

We will show, in any space dimension <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>≥</mo><mn>3</mn></mrow></semantics></math></inlin...

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Bibliographic Details
Main Authors: Taim Saker, Mirko Tarulli, George Venkov
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Axioms
Subjects:
nonlinear Schrödinger equations
Schrödinger operators
scattering theory
local nonlinearity
damping
Online Access:https://www.mdpi.com/2075-1680/14/6/447
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