Dispersive smoothing for Schrödinger equations
type: Item
instance of: scholarly article
title: Dispersive smoothing for Schrödinger equations
zbMATH Open document ID: 0860.35016
author: Lev Kapitanski
author: Yuri Safarov
published in: Mathematical Research Letters
publication date: 1996-08-05T00:00:00Z
review text: The authors investigate conditions on the positive symmetric matrix \((a_{i,j} (x))\) that guarantee infinite differentiability of the fundamental solution of the Schrödinger equation \[ \left( {1\over i} {\partial\over\partial t} - \sum^d_{i,j=1} {\partial \over\partial x_i} a_{ij} (x) {\partial \over\partial x_j} \right) \psi(t,x) = 0, \quad x \in\mathbb{R}^d,\psi (0,x) =f(x) \] with respect to \(t\) and \(x\), when \(t>0\) and \(x\in \mathbb{R}^d\).
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35A08
zbMATH DE Number: 913097
zbMATH Keywords: infinite differentiability of the fundamental solution
MaRDI profile type: Publication
DOI: 10.4310/MRL.1996.V3.N1.A8
description: scientific article; zbMATH DE number 913097