566 citations
- Centre for Ultrahigh Bandwidth Devices for Optical SystemsAU10 papers
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4 papers · 1 filter
Spreading of quasimodes in the Bunimovich stadium
Nicolas Burq, Andrew Hassell, Jared Wunsch
We consider Dirichlet eigenfunctions of the Bunimovich stadium , satisfying . Write where is the central rectangle and denotes the…
Nonlinear problems with boundary blow-up: a Karamata regular variation theory approach
Florica Corina Cirstea, Vicentiu Radulescu
We study the uniqueness and expansion properties of the positive solution of the logistic equation in a smooth bounded domain , subject to the singular boundary…
Boundary blow-up in nonlinear elliptic equations of Bieberbach--Rademacher type
Florica Corina Cirstea, Vicentiu Radulescu
We establish the uniqueness of the positive solution for equations of the form in , . The special feature is to consider nonlinearities…
The Kato square root problem for mixed boundary value problems
Andreas Axelsson, Stephen Keith, Alan McIntosh
We solve the Kato square root problem for second order elliptic systems in divergence form under mixed boundary conditions on Lipschitz domains. This answers a question posed by J.…