Heat equations with memory
Abbreviated Journal Title
Nonlinear Anal.-Theory Methods Appl.
Heat equation with memory; Memory kernel; Speed of propagation; Mathematics, Applied; Mathematics
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.
Nonlinear Analysis-Theory Methods & Applications
"Heat equations with memory" (2005). Faculty Bibliography 2000s. 5812.