Accession Number:

ADA053293

Title:

Singular Semi-Linear Equations in L1(IR).

Descriptive Note:

Summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-08-01

Pagination or Media Count:

21.0

Abstract:

Let g be a positive continuous prime function on IR which tends to zero at - infinity and which is not integrable over IR. The boundary-value problem -u gu f, u or - infinity 0, is considered for f as an element of L1IR. This problem can have a solution if and only if g is integrable at -infinity and if this is so then the problem is solvable precisely when the integral from infinity to - infinity of ftdt 0. Some extensions of this result are also given.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE