On the singularities of potentials of exactly soluble Schrödinger equations and on Hadamard's problem

DOI10.1070/rm1998v053n01ABEH000022zbMath0918.35041OpenAlexW2065228458MaRDI QIDQ4236900

Alexander P. Veselov, Yuri Yu. Berest

Publication date: 28 March 1999

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1998v053n01abeh000022

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10)

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Differential operators on the superline, Berezinians, and Darboux transformations ⋮ Classification of multidimensional Darboux transformations: first order and continued type ⋮ Monodromy-free Schrödinger operators with quadratically increasing potentials ⋮ Singular operators satisfying an intertwining relation ⋮ Extended Krein-Adler theorem for the translationally shape invariant potentials ⋮ Classification of Darboux transformations for operators of the form \(\partial_x\partial_y+a\partial_x+b\partial_y+c\) ⋮ \(X\)- and \(Y\)-invariants of partial differential operators in the plane ⋮ Multidimensional integrable Schrödinger operators with matrix potential

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