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THE NON-UNIQUENESS OF THE CAUCHY PROBLEM.

Author: PAUL J COHEN; STANFORD UNIV CA APPLIED MATHEMATICS AND STATISTICS LABS.
Publisher: Ft. Belvoir Defense Technical Information Center 30 DEC 1960.
Edition/Format:   Book : English
Database:WorldCat
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: PAUL J COHEN; STANFORD UNIV CA APPLIED MATHEMATICS AND STATISTICS LABS.
OCLC Number: 227260112
Description: 1 p.

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.

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