Singular Semi-Linear Equations in L1(IR).
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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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.
- Numerical Mathematics