On Fredholm Integral Equations of the First Kind with Convex Constraints

On Fredholm Integral Equations of the First Kind with Convex Constraints

A Fredholm integral equation of the first kind is an incorrectly posed problem. In order to make it correctly posed, we lay constraints on $f$ of the form $f \in B$, where $B$ is convex and closed and where $B - B$ (or sometimes $B$ itself) is boundedly compact.

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Veröffentlicht in:SIAM journal on mathematical analysis 1974-11, Vol.5 (6), p.955-962
1. Verfasser: Brynielsson, Lennart
Format: Artikel
Sprache:eng
Schlagworte:
Integral equations
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Zusammenfassung:A Fredholm integral equation of the first kind is an incorrectly posed problem. In order to make it correctly posed, we lay constraints on $f$ of the form $f \in B$, where $B$ is convex and closed and where $B - B$ (or sometimes $B$ itself) is boundedly compact.
ISSN:0036-1410
1095-7154
DOI:10.1137/0505093