Skip to main content
SpringerLink
Log in

Generation and Propagation of Interfaces for p-Laplacian Equations

  • ORIGINAL ARTICLES
  • Published:
Acta Mathematica Sinica Aims and scope Submit manuscript

Abstract

In this paper, we consider the generation and propagation of interfaces for p-Laplacian equations with the derivative of a bi-stable potential.

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

References

  1. Fife, P. C.: Dynamics of internal layers and diffusive inter-face. in “CCMS-NSF Regional Conf. Ser. in Appl. Math.”, SIAM Philadelphia (1988)

  2. Rubinstein, J., Sternberg, P., Keller, J. B.: Fast reaction, slow diffusion and curve shorting. SIAM J. Appl. Math., 49, 116–133 (1989)

    Article  MathSciNet  Google Scholar 

  3. DiBenedetto, E., Fridman, A.: Regularity of solutions of nonlinear degenerate parabolic systems. J. Reine Angew. Math., 349, 83–128 (1984)

    MathSciNet  Google Scholar 

  4. Dibenedetto, E.: Degenerate Parabolic Equation, Springer-Verlag (1993)

  5. Evans, L. C., Soner, H. M., Souganidis, P. E.: Phase transitions and generalized motion by mean curvature. Communications on Pure and Applied Mathematics, XLV, 1097–1123 (1992)

    Google Scholar 

  6. Chen, X.: Generation and propagation of interface for reaction-diffusion equations. J. Diff. Eqn., 96, 116–141 (1992)

    Article  Google Scholar 

  7. Mottoni, P. De, Schatzman, M.: Evolution geometrique d’interface. C. R. Acad. Sci. Ser. I. Math., 309, 453–458 (1989)

    Google Scholar 

  8. Mottoni, P. De, Schatzman, M.: Geometrical evolution of developed interfaces. Trans. Math. Soc., 347(5), 1533–1589 (1995)

    Article  Google Scholar 

  9. Fife, P. C., Hsiao, L.: The generation and propagation of internal layers. Nonlinear Anal., 12, 19–41(1988)

    Article  MathSciNet  Google Scholar 

  10. Aronson, D. G., Weinberger, H. F.: Nonlinear diffusion in population genetics, combustion and nerve propagation. in “Partial Differential Equation and Related Topics”, pp. 5–49, Lecture Note in Mathematics, 446, Springer-Verlag, New York (1975)

  11. Aronson, D. G., Weinberger, H. F.: Multidimensional nonlinear diffusion arising in population genetics. Adv. in Math., 30, 33–76 (1978)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China

    Jun Ning Zhao & Qing Yi

Authors
  1. Jun Ning Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qing Yi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jun Ning Zhao.

Additional information

Project supportd by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, J.N., Yi, Q. Generation and Propagation of Interfaces for p-Laplacian Equations. Acta Math Sinica 20, 319–332 (2004). https://doi.org/10.1007/s10114-003-0245-7

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10114-003-0245-7

Keywords

MR (2000) Subject Classification

Search

Navigation