Publication: A singular perturbation in a linear parabolic equation with terms concentrating on the boundary
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2012-01
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Springer
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In this paper we consider linear parabolic problems when some reaction and potential terms are concentrated in a neighborhood of a portion I" of the boundary. This neighborhood shrinks to I" as a parameter epsilon goes to zero. Then we derive the limit equation which has some new terms on I". We also analyze the regularity and convergence of the solutions.
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