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On Boundary Relation For Some Dissipative Systems
by Tai-Ping Liu   Shih-Hsien Yu

Vol. 6 No. 3 (2011) P.245~P.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.

KEYWORDS
Dissipative systems, initial-boundary problem, Dirichlet-Neumann relation, Laplace-Fourier inversion

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35B30, 35Q35, 35C05, 35E05

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