CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains

  Published:2004-06-01
 Printed: Jun 2004
  • Xiangxing Tao
  • Henggeng Wang
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We consider the Neumann problem for the Schr\"odinger equations $-\Delta u+Vu=0$, with singular nonnegative potentials $V$ belonging to the reverse H\"older class $\B_n$, in a connected Lipschitz domain $\Omega\subset\mathbf{R}^n$. Given boundary data $g$ in $H^p$ or $L^p$ for $1-\epsilon
Keywords: Neumann problem, Schrödinger equation, Lipschitz, domain, reverse Hölder class, $H^p$ space Neumann problem, Schrödinger equation, Lipschitz, domain, reverse Hölder class, $H^p$ space
MSC Classifications: 42B20, 35J10 show english descriptions Singular and oscillatory integrals (Calderon-Zygmund, etc.)
Schrodinger operator [See also 35Pxx]
42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.)
35J10 - Schrodinger operator [See also 35Pxx]
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/