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ON THE ISOPERIMETRIC PROBLEM FOR THE LAPLACIAN WITH ROBIN AND WENTZELL BOUNDARY CONDITIONS

Part of: Partial differential equations Spectral theory and eigenvalue problems Partial differential operators Elliptic equations and systems General theory of linear operators Groups and semigroups of linear operators, their generalizations and applications Parabolic equations and systems

Published online by Cambridge University Press:  16 August 2010

JAMES B. KENNEDY
JAMES B. KENNEDY*
Affiliation:
Group of Mathematical Physics, University of Lisbon, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal (email: jkennedy@cii.fc.ul.pt)
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Abstract

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Keywords

isoperimetric problemLaplacianRobin boundary conditionsWentzell boundary conditions

MSC classification

Secondary: 35P15: Estimation of eigenvalues, upper and lower bounds 35B40: Asymptotic behavior of solutions 35J20: Variational methods for second-order elliptic equations 35J25: Boundary value problems for second-order elliptic equations 35K15: Initial value problems for second-order parabolic equations 47A07: Forms (bilinear, sesquilinear, multilinear) 47A10: Spectrum, resolvent 47D06: One-parameter semigroups and linear evolution equations 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 348 - 350
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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