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Singular Limits in Free Boundary Problems

Stuart, Andrew M. (1991) Singular Limits in Free Boundary Problems. Rocky Mountain Journal of Mathematics, 21 (2). pp. 809-811. ISSN 0035-7596. doi:10.1216/rmjm/1181072969.

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We analyze the following class of nonlinear eigenvalue problems: find (uµ) є B x R satisfying (1) Du + µH(a.u - 1)f(u) = 0 in Ω ⊆ R^N, (2) u = O on ∂Ω. Here H (X) is the Heaviside step-function defined by H(X) =0, X ≤ 0 H (X) = 1 X > 0. B is some Banach space appropriate to the problem. D is taken to be a (possibly nonlinear) differential operator with the property than, when µ = 0, equations (1,2) have the unique solution u

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Additional Information:© 1991 Project Euclid. I am grateful to the following financial support: (i) the Science and Engineering Research Council, U.K.; (ii) the Royal Society; (iii) NSF, under Grant DMS 8613813; (iv) Brigham Young University.
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Science and Engineering Research Council (SERC)UNSPECIFIED
Brigham Young UniversityUNSPECIFIED
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Andrew StuartJ14
Issue or Number:2
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Official Citation:Stuart, Andrew. Singular Limits in Free Boundary Problems. Rocky Mountain J. Math. 21 (1991), no. 2, 809--811. doi:10.1216/rmjm/1181072969.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78176
Deposited By: Ruth Sustaita
Deposited On:14 Jun 2017 14:37
Last Modified:15 Nov 2021 17:37

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