Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
  1. Home
  2. Probability Theory and Related Fields
  3. Article
Degree theory on Wiener space
Download PDF
Download PDF
  • Published: June 1997

Degree theory on Wiener space

  • A. Süleyman Üstünel1 &
  • Moshe Zakai2 

Probability Theory and Related Fields volume 108, pages 259–279 (1997)Cite this article

  • 89 Accesses

  • 3 Citations

  • Metrics details

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.

Download to read the full article text

Working on a manuscript?

Avoid the common mistakes

Author information

Authors and Affiliations

  1. ENST, Dépt. Réseaux, 46, rue Barrault, F-75013 Paris, France e-mail: ustunel@res.enst.fr, , , , , , FR

    A. Süleyman Üstünel

  2. Department of Electrical Engineering, Technion–Israel Institute of Technology, 32000 Haifa, Israel e-mail: zakai@ee.technion.ac.il, , , , , , IL

    Moshe Zakai

Authors
  1. A. Süleyman Üstünel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Moshe Zakai
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 19 March 1996 / In revised form: 7 January 1997

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Üstünel, A., Zakai, M. Degree theory on Wiener space. Probab Theory Relat Fields 108, 259–279 (1997). https://doi.org/10.1007/s004400050109

Download citation

  • Issue Date: June 1997

  • DOI: https://doi.org/10.1007/s004400050109

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

  • Mathematics Subject Classification (1991): 60G30
  • 60H07
  • 60H15
  • 60H30
  • 60B11
  • 28C20
  • 46G12
Download PDF

Working on a manuscript?

Avoid the common mistakes

Advertisement

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature