Existence of a solution to the inhomogeneous equation with the one-dimensional Schrödinger operator in the space of quickly decreasing functions

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Publication:1948546

DOI10.1007/s10958-012-1050-6zbMath1308.35282OpenAlexW1988049470MaRDI QIDQ1948546

Valerii Samoylenko, Yu. I. Samoylenko

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1050-6

zbMATH Keywords

asymptotic solutionsSchrödinger equationpseudodifferential operatorsoperator symbolspace of quickly decreasing functions


Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Pseudodifferential operators (47G30)


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Cites Work

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