Existence and non-existence of global solutions of diffusion systems with nonlinear boundary conditions

Authors

    Authors

    Y. W. Qi; M. X. Wang;Z. J. Wang

    Comments

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    Abbreviated Journal Title

    Proc. R. Soc. Edinb. Sect. A-Math.

    Keywords

    PARABOLIC-SYSTEMS; Mathematics, Applied; Mathematics

    Abstract

    This paper deals with existence and non-existence of global solutions of certain fast-slow diffusion systems with nonlinear boundary conditions. Necessary and sufficient conditions for global existence of positive solutions are obtained in terms of various parameters which appear explicitly in the definition of the systems.

    Journal Title

    Proceedings of the Royal Society of Edinburgh Section a-Mathematics

    Volume

    134

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    1199

    Last Page

    1217

    WOS Identifier

    WOS:000226173900010

    ISSN

    0308-2105

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