Schrödinger equation with singular position dependent mass

DOI10.4171/zaa/1725zbMath1527.35331arXiv2302.10194OpenAlexW4381612574MaRDI QIDQ6060927

N. E. Tokmagambetov, Mohammed Elamine Sebih, Michael Ruzhansky

Publication date: 6 November 2023

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.10194

zbMATH Keywords

weak solutionCauchy problemSchrödinger equationregularisationsingular massposition dependent effective mass

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Wave equation (35L05) Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Singular hyperbolic equations (35L81)

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