Exponential decay of the solutions to nonlinear Schrödinger systems

We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply to positive or sign-changing components, and to cooperative, competitive, or mixed-interaction systems. As an application, we use the exponential deca...

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 62; no. 5
Main Authors Angeles, Felipe, Clapp, Mónica, Saldaña, Alberto
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
Springer Nature B.V
Subjects
Analysis
Calculus of Variations and Optimal Control; Optimization
Control
Decay
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Nonlinear systems
Systems Theory
Theoretical
Upper bounds
35J10
35B06
35B40
35J47
35B45
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Summary:We show that the components of finite energy solutions to general nonlinear Schrödinger systems have exponential decay at infinity. Our results apply to positive or sign-changing components, and to cooperative, competitive, or mixed-interaction systems. As an application, we use the exponential decay to derive an upper bound for the least possible energy of a solution with a prescribed number of positive and nonradial sign-changing components.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-023-02503-9