Degree theory on Wiener space |
| |
| Authors: | A. Süleyman Üstünel Moshe Zakai |
| |
| Affiliation: | (1) ENST, Dépt. Réseaux, 46, rue Barrault, F-75013 Paris, France e-mail: ustunel@res.enst.fr, FR;(2) Department of Electrical Engineering, Technion–Israel Institute of Technology, 32000 Haifa, Israel e-mail: zakai@ee.technion.ac.il, IL |
| |
| Abstract: | Summary. Let (W, H, μ) be an abstract Wiener space and let Tw = w + u (w), where u is an H-valued random variable, be a measurable transformation on W. A Sard type lemma and a degree theorem for this setup are presented and applied to derive existence of solutions to elliptic stochastic partial differential equations. Received: 19 March 1996 / In revised form: 7 January 1997 |
| |
| Keywords: | Mathematics Subject Classification (1991): 60G30 60H07 60H15 60H30 60B11 28C20 46G12 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
