POINTWISE BOUNDS FOR SOLUTIONS OF THE CAUCHY PROBLEM FOR ELLIPTIC EQUATIONS

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Abstract:

An analysis is presented which deals with a technique for approximating the solution to a Cauchy problem for a geneal second-order elliptic patil differential equation defined in an N-dimensional region D. The method is based upon the determination of an a priori bound for the value of an arbitrary function u at a point P in D in terms of the values of u and its gradient on the cauchy surface andA FUNCTIONAL OF THE ELLIPTIC OPERATOR APPLIED TO U. Author

Author(s):
Trytten, George N.
Author Organization(s):
NAVAL ORDNANCE LAB WHITE OAK MD
Descriptive Note:
Doctoral thesis
Annotation:
POINTWISE BOUNDS FOR SOLUTIONS OF THE CAUCHY PROBLEM FOR ELLIPTIC EQUATIONS.
Pagination:
0072

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
NOLTR-62-91
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*CONVEX SETS, *FUNCTIONS(MATHEMATICS), *OPERATORS (MATHEMATICS), *PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENTIAL EQUATIONS, GEOMETRY, GREEN S FUNCTION, INEQUALITIES, MATRICES(MATHEMATICS), NUMBERS
Report Date:
1962 Jun 04