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Maximum principles and principal eigenvalues


Amann, H (2005). Maximum principles and principal eigenvalues. In: Ferrera, J; López-Gómez, J; Ruiz del Portal, F R. Ten mathematical essays on approximation in analysis and topology. Amsterdam: Elsevier, 1-60.

Abstract

In this paper well-known maximum principles are extended to second order cooperative linear elliptic systems with cooperative boundary conditions in strong, weak, and very weak settings. In addition, interrelations between maximum principles and principal eigenvalues are studied in detail, as well as continuity properties of principal eigenvalues under domain perturbations.

Abstract

In this paper well-known maximum principles are extended to second order cooperative linear elliptic systems with cooperative boundary conditions in strong, weak, and very weak settings. In addition, interrelations between maximum principles and principal eigenvalues are studied in detail, as well as continuity properties of principal eigenvalues under domain perturbations.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Maximum principles, principal eigenvalues, cooperative systems, cooperative boundary conditions, weak and very weak solutions, domain perturbations
Language:English
Date:2005
Deposited On:01 Feb 2010 07:40
Last Modified:06 Dec 2017 20:45
Publisher:Elsevier
ISBN:978-0-444-51861-3
Free access at:Related URL. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/B978-044451861-3/50001-X
Related URLs:http://user.math.uzh.ch/amann/files/mppe.pdf

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