Entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2018-12

AUTHORS

Rui Yan, Xiaocui Li

ABSTRACT

This paper is concerned with the existence of entire solutions for a reaction-diffusion equation with doubly degenerate nonlinearity. Here the entire solutions are the classical solutions that exist for all [Formula: see text]. With the aid of the comparison theorem and the sup-sub solutions method, we construct some entire solutions that behave as two opposite traveling front solutions with critical speeds moving towards each other from both sides of x-axis and then annihilating. In addition, we apply the existence theorem to a specially doubly degenerate case. More... »

PAGES

147

References to SciGraph publications

  • 2001-04. Travelling Fronts and Entire Solutions¶of the Fisher-KPP Equation in ℝN in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2012-02. Existence of weak solutions to doubly degenerate diffusion equations in APPLICATIONS OF MATHEMATICS
  • 2017-02. Entire solution of the degenerate Fisher equation in ACTA MATHEMATICAE APPLICATAE SINICA, ENGLISH SERIES
  • 2017-10. Entire solution in an ignition nonlocal dispersal equation: Asymmetric kernel in SCIENCE CHINA MATHEMATICS
  • 2006-10. Entire Solutions with Merging Fronts to Reaction–Diffusion Equations in JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
  • 1975. Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation in PARTIAL DIFFERENTIAL EQUATIONS AND RELATED TOPICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13662-018-1606-y

    DOI

    http://dx.doi.org/10.1186/s13662-018-1606-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1103628220

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/29721008


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