Bulletin of the Australian Mathematical Society

Research Article

A NOTE ON RESOLVENT CONVERGENCE ON A THIN DOMAIN

RICARDO P. SILVA 

Instituto de Geociências e Ciências Exatas, UNESP - Univ Estadual Paulista, Departamento de Matemática, 13506-900, Rio Claro SP, Brazil

Abstract

In this paper we provide a new proof of strong convergence of resolvent operators associated with boundary value problems on thin domains.

(Received November 29 2012)

(Accepted April 20 2013)

(Online publication June 27 2013)

2010 Mathematics subject classification

  • primary 35B25

Keywords and phrases

  • thin domains;
  • resolvent convergence

Correspondence

rpsilva@rc.unesp.br

Footnotes

  Partially supported by FAPESP #2012/06753-8 and FUNDUNESP #0135812, Brazil