Numerical Solution of Ill Posed Problems in Partial Differential Equations.

Abstract

The work in progress has included the result that, for a certain class of partial differential equations, nonlinearization will often not aid in stabilization. Partial results have been obtaining on the following two types of questions: (1) What sort of estimates can one obtain for solutions of nonlinear parabolic problems backward in time at a given time in terms of the solution at alter times? Also: (2) If a solution of a certain parabolic bundary value problem is known to exist for positive time, what are the possible behaviors as the time tends to zero? Other topics addressed include coefficient determination in hyperbolic-equations, quenching for wave equations, and positive solutions of a nonlinear elliptic equation in all of space. Two presentations will be given this summer on results to date. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1985
Accession Number
ADA166096

Entities

People

  • Howard A. Levine

Organizations

  • Iowa State University

Tags

Communities of Interest

  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Classification
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Inequalities
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Security
  • Students
  • Two Dimensional
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Theoretical Analysis.

Technology Areas

  • Space