A Boundary Modulus of Continuity for a Class of Singular Parabolic Equations.

reportActive / Technical Report | Accession Number: ADA138019 | Open PDF

Abstract:

Parabolic equations describing diffusion phenomena with change of phase are considered. It is demonstrated that weak solutions are continuous up to the parabolic boundary of the domain of definition. The continuity is quantitatively described by a modulus determined a priori only in terms of the data. Author

Author(s):
Dibenedetto, E.
Author Organization(s):
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0049

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-2623
Contract/Grant Number(s):
DAAG29-80-C-0041, NSF-MCS83-00293
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_1.2_Force Preparation; JCA_1_Force Support
Modernization Areas:
Fully Networked C3
Communities of Interest:
C4I
Descriptor(s):
*Equations, *Continuity, Boundaries, Diffusion, Functions(Mathematics), Graphs, Estimates, Solutions(General), Inequalities
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
*Parabolic equations, Modulus of continuity
Report Date:
1983 Jan 01