Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844830 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 6 Pages |
Abstract
This paper introduces a notion of regularity of t=-∞t=-∞ for the diffusion (or heat) equation and establishes a necessary and sufficient condition for the existence of a unique bounded solution to the first boundary value problem for the diffusion equation in a general domain Ω⊂RN+1Ω⊂RN+1 which extends up to t=-∞t=-∞.
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Authors
Ugur G. Abdulla,