On nonlinear Schrödinger equations with random initial data

On nonlinear Schrödinger equations with random initial data

This note is concerned with the global well-posedness of nonlinear Schrödinger equations in the continuum with spatially homogeneous random initial data.

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Veröffentlicht in:Mathematics in Engineering 2022-01, Vol.4 (4), p.1-14
1. Verfasser: Duerinckx, Mitia
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
global well-posedness
Mathematical Physics
Mathematics
nls equations
Probability
random fields
random initial data
statistical spatial homogeneity
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Beschreibung
Zusammenfassung:This note is concerned with the global well-posedness of nonlinear Schrödinger equations in the continuum with spatially homogeneous random initial data.
ISSN:2640-3501
2640-3501
DOI:10.3934/mine.2022030