Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


The limiting absorption principle for partial differential operators

About this Title

Matania Ben-Artzi and Allen Devinatz

Publication: Memoirs of the American Mathematical Society
Publication Year: 1987; Volume 66, Number 364
ISBNs: 978-0-8218-2426-9 (print); 978-1-4704-0780-3 (online)
DOI: https://doi.org/10.1090/memo/0364
MathSciNet review: 878907
MSC: Primary 35P25; Secondary 47A40, 81C12

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 1. Introduction
  • 2. Preliminaries
  • 3. The limiting absorption principle for $H = H_0 + V$
  • 4. Stark Hamiltonians with periodic perturbations
  • 5. The Schrödinger operator $-\Delta + V$
  • 6. Simply characteristic differential operators
  • 7. Some further perturbations of $-\Delta$