PERTURBED SCHRÖDINGER EQUATION WITH SINGULAR POTENTIAL AND INITIAL DATA

DOI10.1142/S0219199706002180zbMath1111.46024OpenAlexW2039890718MaRDI QIDQ5487852

Mirjana Stojanovic

Publication date: 12 September 2006

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199706002180

zbMATH Keywords

singular potentialperturbed Schrödinger equationColombeau-type algebrasregularization for the Green function in Schrödinger operator

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

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The Cauchy problem for Schrödinger-type partial differential operators with generalized functions in the principal part and as data ⋮ Limits of regularizations for generalized function solutions to the Schrödinger equation with `square root of delta' initial value

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