On convergence to steady state of solutions of parabolic equations in unbounded domains |
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Authors: | John G Heywood |
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Institution: | University of British Columbia, Vancouver, Canada |
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Abstract: | Solutions of the first mixed boundary value problem for a class of parabolic partial differential equations are shown to converge to solutions of associated elliptic boundary value problems as time t → ∞. The method of proof involves the introduction, for the parabolic problem, of a class of generalized solutions which may behave asymptotically, at spatial infinity, like solutions of the associated elliptic equation. |
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