THE NON-UNIQUENESS OF THE CAUCHY PROBLEM

Abstract

A SYSTEMATIC TREATMENT OF THE PHENOMENON OF NONUNIQUENESS OF THE CAUCHY PROBLEM IS GIVEN. A +ROOF IS GIVEN THAT NON-UNIQUENESS MUST ALWAYS HOLD WHEN CERTAIN CONDITIONS ARE VIOLATED. FOR ELLIPTIC EQUATIONS,THE DEGREE OF CONTINUITY((WHICH CAN BE OBTAINED IS DESCRIBED EXACTLY. ALSO PRESENTED IS A NEW TYPE OF NON-UNIQUENES WHICH DOES NOT DEPEND UPONMULTIPLICITY OF THE CHARACTERISTICS, BUT UPON THE FACT THAT THE COEFFICIENTS OF THE PRINCIPAL PART ARE NOT REAL

Document Details

Document Type
Technical Report
Publication Date
Dec 30, 1960
Accession Number
AD0248940

Entities

People

  • Paul J. Cohen

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cauchy Problem
  • Coefficients
  • Continuity
  • Differential Equations
  • Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis