Accession Number:

AD0650398

Title:

ON SOME PROPERTIES OF GENERALIZED SOLUTIONS OF LINEAR EQUATIONS OF ELLIPTIC AND PARABOLIC TYPE.

Descriptive Note:

APL library bulletin translation series,

Corporate Author:

JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s):

Report Date:

1967-03-08

Pagination or Media Count:

16.0

Abstract:

Considered are weak solutions in W1,0sub 2 Omega x 0,T omega is a space domain of linear parabolic equation delta udelta t - Lu f div g, where L is the sum of an elliptic second-order operator in divergence form plus lower-order terms. The existence and uniqueness theory of Ladyzhenskaya and Uraltseva for weak solutions of the first mixed problem involves requiring that the lower-order terms be in certain L sub p classes. It is shown by example that some of these requirements are necessary for uniqueness. Some similar results are also given concerning elliptic problems and concerning the Holder continuity of the solutions. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE