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

High Frequency Resolvent Estimates and Energy Decay of Solutions to the Wave Equation

  Published:2004-12-01
 Printed: Dec 2004
  • Fernando Cardoso
  • Georgi Vodev
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

We prove an uniform H\"older continuity of the resolvent of the Laplace-Beltrami operator on the real axis for a class of asymptotically Euclidean Riemannian manifolds. As an application we extend a result of Burq on the behaviour of the local energy of solutions to the wave equation.
MSC Classifications: 35B37, 35J15, 47F05 show english descriptions PDE in connection with control problems (See also 49J20, 49K20, 93C20)
Second-order elliptic equations
Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)
35B37 - PDE in connection with control problems (See also 49J20, 49K20, 93C20)
35J15 - Second-order elliptic equations
47F05 - Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47)
 

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