Trace Regularity for a Second Order Hyperbolic Equation With Nonsmooth Coefficients

Abstract

In this research, a trace regularity theorem on a time like surface is proved for the solution of a multidimensional linear acoustic wave equation with nonsmooth coefficients. Our theorem indicates that with microlocal restrictions against tangential oscillations in the coefficients, the boundary value is just as regular as the solution, in particular as regular as the coefficients allow.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1991
Accession Number
ADA452695

Entities

People

  • Wiliam W. Symes

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Acoustic Waves
  • Applied Mathematics
  • Boundaries
  • Coefficients
  • Equations
  • Information Operations
  • Mathematics
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Wave Propagation and Nonlinear Chaotic Dynamics.