Scattering theory in weighted L2 space for a class of the defocusing inhomogeneous nonlinear Schrödinger equation
Van Duong Dinh
Abstract
In this paper, we consider the following inhomogeneous nonlinear Schrdinger equation (INLS) [Nonlinear Anal. Real World Appl. 37 (2017), 249-286] and give an improvement of this result in the two and three spatial dimensional cases. Second, we study the decay of global solutions for the defocusing (INLS), i.e. = -1 when 0 < < where = 4-2b d-2 for d 3, and = for d = 1, 2 by assuming that the initial data belongs to the weighted
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MathematicsClass (philosophy)Nonlinear systemSpace (punctuation)Mathematical analysisNonlinear Schrödinger equationScatteringSchrödinger equationPhysicsQuantum mechanicsComputer scienceArtificial intelligencePhilosophyLinguisticsAdvanced Mathematical Physics ProblemsNonlinear Waves and SolitonsBlack Holes and Theoretical Physics