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1999 On existence of local solutions for differential equations on Wiener space
Jai Heui Kim, Yong Sik Yun
J. Math. Kyoto Univ. 39(2): 287-297 (1999). DOI: 10.1215/kjm/1250517913

Abstract

We consider a differential equation on the Wiener space. We obtain some inequalities for capacity under the transformations of the Wiener space induced by the solutions of differential equation and show the existence of local solutions by using the inequalities for capacity.

Citation

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Jai Heui Kim. Yong Sik Yun. "On existence of local solutions for differential equations on Wiener space." J. Math. Kyoto Univ. 39 (2) 287 - 297, 1999. https://doi.org/10.1215/kjm/1250517913

Information

Published: 1999
First available in Project Euclid: 17 August 2009

zbMATH: 0952.60058
MathSciNet: MR1709294
Digital Object Identifier: 10.1215/kjm/1250517913

Subjects:
Primary: 60H07

Rights: Copyright © 1999 Kyoto University

Vol.39 • No. 2 • 1999
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