Skip to main content
SpringerLink
Log in

Eine parabolische Gleichung mit vergänglichen Lösungen

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

We give an example of a parabolic system having solutions which blow up in a finite time interval. This system is contrasted with a very similar system whose solutions go on for all time.

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

Literaturverzeichnis

  1. J. M. BALL: Finite time blow-up in nonlinear problems. Nonlinear Evolution Equations, Michael G. Crandall ed., 189–205, Academic Press, New York (1978)

    Google Scholar 

  2. J. EELLS and J. H. SAMPSON: Harmonic mappings of Riemannian manifolds. Amer. J. Math.86, 109–160 (1964)

    Google Scholar 

  3. A. FRIEDMAN: Partial Differential Equations of Parabolic Type. Englewood Cliffs, N. J., Prentice-Hall (1964)

    Google Scholar 

  4. A. FRIEDMAN: Remarks on nonlinear parabolic equations. Proc. Symposia Appl. Math.17, Amer. Math. Soc., 3–23 (1965)

  5. O. A. LADYZENSKAJA, V. A. SOLONNIKOV, N. N. URAL'CEVA: Linear and Quasilinear Equations of Parabolic Type. Amer. Math. Soc. Translations, vol. 23 (1968)

  6. J. H. SAMPSON: On harmonic mappings. Symposia Math., Roma, (1981), erscheint demnächst

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, The Johns Hopkins University, 21218, Baltimore, Maryland, USA

    J. H. Sampson

Authors
  1. J. H. Sampson
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sampson, J.H. Eine parabolische Gleichung mit vergänglichen Lösungen. Manuscripta Math 40, 87–89 (1982). https://doi.org/10.1007/BF01168237

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01168237

Search

Navigation