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WINTER 2013 Generalized solution to a non Lipschitz integral equation
Victor Dévoué
J. Integral Equations Applications 25(4): 455-480 (WINTER 2013). DOI: 10.1216/JIE-2013-25-4-455


We study a non Lipschitz integral equation in the framework of generalized functions. By means of suitable regularizations, we define an associated generalized problem. We obtain a generalized solution in an appropriate $(\C,\E,\P)$ algebra. We compare the generalized solution with the classical one when it exists.


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Victor Dévoué. "Generalized solution to a non Lipschitz integral equation." J. Integral Equations Applications 25 (4) 455 - 480, WINTER 2013.


Published: WINTER 2013
First available in Project Euclid: 31 January 2014

zbMATH: 1293.45002
MathSciNet: MR3161622
Digital Object Identifier: 10.1216/JIE-2013-25-4-455

Primary: 35A01
Secondary: 35A25 , 35D99 , 35R09 , 45G10 , 45K99 , 46F30 , 46T30

Keywords: Algebras of generalized functions , integral equations , non Lipschitz integral equations , non Lipschitz problems , non-linear generalized functions , non-linear problems , regularization of data , regularization of problems

Rights: Copyright © 2013 Rocky Mountain Mathematics Consortium

Vol.25 • No. 4 • WINTER 2013
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