Limiting Behavior of Linearly Damped Hyperbolic Equations,

Abstract

For a linearly damped wave equation in a bounded domain in R sub n, it is shown that there is a compact attractor in H 1st power x L to the 2nd power as well as in (H to the 2nd power intersection H sub 0 to the 1st power) x H sub 0 to the 1st power. Similar results are given for the linearly damped beam equation. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA170161

Entities

People

  • Jack K. Hale
  • Nicholas Stavrakakis

Organizations

  • Brown University

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algebra
  • Applied Mathematics
  • Banach Space
  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Governments
  • Linear Differential Equations
  • Mathematics
  • Security
  • Universities
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Defense Technology Research and Development.
  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)