Skip to main content
SpringerLink
Log in

Global existence of analytic solutions to the Cauchy problem in a complex domain

  • Published:
Journal of Fixed Point Theory and Applications Aims and scope Submit manuscript

Abstract.

We present results on the global existence of analytic solutions to the Cauchy problem in starshaped or convex complex domains. No growth conditions are imposed. Our results rely on a notion of solution-tube that we introduce.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Département de mathématiques et de statistique, Université de Montréal, C.P. 6128, succ. Centre-Ville, Montréal, Québec, H3C 3J7, Canada

    M. Frigon

Authors
  1. M. Frigon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Frigon.

Additional information

À la mémoire de Jean Leray

Rights and permissions

Reprints and permissions

About this article

Cite this article

Frigon, M. Global existence of analytic solutions to the Cauchy problem in a complex domain. J.fixed point theory appl. 1, 189–194 (2007). https://doi.org/10.1007/s11784-007-0012-y

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11784-007-0012-y

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation