Skip to main content
SpringerLink
Log in

The geometry of solutions to a segregation problem for nondivergence systems

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

Abstract.

Segregation systems and their singular perturbations arise in different areas: particle anihilation, population dynamics, material sciences. In this article we study the elliptic and parabolic limits of a nonvariational singularly perturbed problem. Existence and regularity properties of solutions and their limits are obtained.

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. Department of Mathematics, University of Texas at Austin, 1 University Station – C1200, Austin, TX, 78712-0257, USA

    L. A. Caffarelli & A. L. Karakhanyan

  2. Department of Mathematics, Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012, USA

    Fang-Hua Lin

Authors
  1. L. A. Caffarelli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. L. Karakhanyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fang-Hua Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. L. Karakhanyan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Caffarelli, L.A., Karakhanyan, A.L. & Lin, FH. The geometry of solutions to a segregation problem for nondivergence systems. J. fixed point theory appl. 5, 319–351 (2009). https://doi.org/10.1007/s11784-009-0110-0

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11784-009-0110-0

Mathematics Subject Classification (2000).

Keywords.

Search

Navigation