Lower bounds on the radius of analyticity for a system of nonlinear quadratic interactions of the Schrödinger-type equations

DOI10.1007/s00033-024-02279-8zbMath1547.35622MaRDI QIDQ6592256

Renata O. Figueira, Mahendra Panthee, Marcelo Nogueira

Publication date: 24 August 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

Cauchy problem nonlinear Schrödinger equation local and global well-posedness coupled system of equations Fourier restriction norm Gevrey spaces spatial analyticity radius of analyticity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Analyticity in context of PDEs (35A20) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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