Heat equations with memory

    Authors

    J. Yong;X. Zhang

    Comments

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    Abbreviated Journal Title

    Nonlinear Anal.-Theory Methods Appl.

    Keywords

    Heat equation with memory; Memory kernel; Speed of propagation; Mathematics, Applied; Mathematics

    Abstract

    A modified Fourier's law in an anisotropic and non-homogeneous media results in a heat equation with memory, for which the memory kernel is matrix valued and spatially dependent. Different conditions on the memory kernel lead the equation to being either a parabolic type or a hyperbolic type. Well-posedness of such a heat equation is established under some general and reasonable conditions. (C) 2005 Elsevier Ltd. All rights reserved.

    Journal Title

    Nonlinear Analysis-Theory Methods & Applications

    Volume

    63

    Issue/Number

    5-7

    Publication Date

    1-1-2005

    Document Type

    Article

    Language

    English

    First Page

    E99

    Last Page

    E108

    WOS Identifier

    WOS:000208147800010

    ISSN

    0362-546X

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