Accession Number:

ADA063976

Title:

Uniqueness of Solutions of the Initial-Value Problem for u sub t - delta phi(u) = 0.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Brezis,Haiem
• Crandall,Michael G.

Report Date:

1978-08-01

Pagination or Media Count:

17.0

Abstract:

Equations of the form u sub t - delta phiu 0 arise in mathematical models of many physical situations. The uniqueness of solutions of the associated initial-value problem in R superscript N is considered in this paper. It is shown that bounded weak solutions i.e., solutions in the sense of distribution which further satisfy an integrability condition are unique.

Descriptors:

• *BOUNDARY VALUE PROBLEMS
• MATHEMATICAL MODELS
• SOLUTIONS(GENERAL)
• DISTRIBUTION FUNCTIONS
• THEOREMS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE