Fast-decaying potentials on the finite-gap background and the \(\overline {\partial}\)-problem on the Riemann surfaces
type: Item
instance of: scholarly article
title: Fast-decaying potentials on the finite-gap background and the \(\overline {\partial}\)-problem on the Riemann surfaces
zbMATH Open document ID: 0850.35081
DOI: 10.1007/BF01016145
published in: Theoretical and Mathematical Physics
publication date: 1996-11-18T00:00:00Z
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 81U40
zbMATH DE Number: 907311
zbMATH Keywords: direct and inverse scattering problems
zbMATH Keywords: scattering data
zbMATH Keywords: heat-conductivity operator
zbMATH Keywords: \(\overline\partial\)-problem data on the Riemann surface
zbMATH Keywords: Schrödinger operator
author: P. G. Grinevich
MaRDI profile type: Publication
cites work: Analogs of multisoliton potentials for the two-dimensional Schrödinger operator
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cites work: Spectral theory of two-dimensional periodic operators and its applications
cites work: Nonsingular finite-zone two-dimensional Schrödinger operators and Prymians of real curves
cites work: Potentials with zero coefficient of reflection on a background of finite- zone potentials
cites work: Asymptotics for \(t\to \infty\) of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as \(x\to \pm \infty\)
cites work: The Riemann boundary value problem on closed Riemann surfaces and integrable systems
full work available at URL: https://doi.org/10.1007/bf01016145
OpenAlex ID: W2005035539
description: scientific article; zbMATH DE number 907311