On a Nonlinear Beam Equation

Abstract

Existence and uniqueness of weak solutions to a nonlinear beam equation is established under relaxed assumptions (locally Lipschitz plus affine domination) on the nonlinearity in the stiffness constitutive law. The results provide alternatives to previous theories requiring rather stringent monotonicity assumptions. The techniques and arguments are applicable to a large class of nonlinear second order (in time) partial differential equation systems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADA451433

Entities

People

  • Azmy S. Ackleh
  • Gabriella A> Pinter
  • H. Thomas Banks

Organizations

  • University of Louisiana at Lafayette

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Equations
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Partial Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.