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2011 / September Volume 6 No.3
On Boundary Relation For Some Dissipative Systems
Published Date
2011 / September
Title
On Boundary Relation For Some Dissipative Systems
Author
Tai-Ping Liu, Shih-Hsien Yu
Keyword
Dissipative systems, initial-boundary problem, Dirichlet-Neumann relation, Laplace-Fourier inversion, Dissipative systems, initial-boundary problem, Dirichlet-Neumann relation, Laplace-Fourier inversion
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Pagination
245-267
Abstract
We consider the initial-boundary value problem for dissipative systems. The main goal is to obtain explicit relation for the boundary values and their normal differentiations. We calculate out the relation for three basic examples in continuum physics. Following the standard approach, we apply the Fourier-Laplace transforms. Our main effort is to explicitly invert these transforms.
AMS Subject
Classification
35B30, 35Q35, 35C05, 35E05
Received
2011-09-23
Accepted
2011-09-23
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