Accession Number:

AD0248940

Title:

THE NON-UNIQUENESS OF THE CAUCHY PROBLEM

Descriptive Note:

Corporate Author:

STANFORD UNIV CA APPLIED MATHEMATICS AND STATISTICS LABS

Personal Author(s):

Report Date:

1960-12-30

Pagination or Media Count:

1.0

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 CONTINUITYWHICH 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE