Title
Heat equations with memory
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
ISSN
0362-546X
Recommended Citation
"Heat equations with memory" (2005). Faculty Bibliography 2000s. 5812.
https://stars.library.ucf.edu/facultybib2000/5812
Comments
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