New Results on the Vibrating String with a Continuous Obstacle.

Abstract

We give an explicit formula which describes the solution of the problem of the vibrating string with a plane obstacle. This formula allows us to prove continuous dependence on the data; a regularity result is given. We prove some results on the convergence of the penalized problem, and give a numerical scheme. A few results are given without the requirement that the obstacle be plane. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA086724

Entities

People

  • A. Bamberger
  • M. Schatzman

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Cauchy Problem
  • Convergence
  • Differential Equations
  • Equations
  • Functions (Mathematics)
  • Identities
  • Inequalities
  • Integral Equations
  • Integrals
  • Mathematics
  • Sequences
  • Topology
  • United States
  • Universities
  • Wave Equations
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Operations Research