Numerical Solution of I11 Posed Problems in Partial Differential Equations.

Abstract

Research was undertaken on questions concerning the existence, uniqueness, continuous data dependence and numerical computations of solutions of various ill posed problems in partial differential equations. It was shown that a potential well theory is possible for certain hyperbolic problems in which a nonlinear boundary condition is prescribed and not possible in certain cases when the forcing term in the differential equation is singular. Several papers were accepted or submitted during this period. Examples of titles are: Inequalities between Dirichlet and Neumann eigenvalues, and A potential well theory for the heat equation with a nonlinear boundary condition. Keywords: Partial differential equations; Hyperbolic problems; Continuous data. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA162378

Entities

People

  • Howard A. Levine

Organizations

  • Iowa State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Computations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geometry
  • Inequalities
  • Inverse Problems
  • Mathematics
  • Partial Differential Equations
  • Scientific Research
  • Universities
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Statistical inference.