Estimates of the lower exponent of a two-dimensional linear system under Perron perturbations.
Izobov, N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Izobov, N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Zbigniew Błocki (2004)
Annales Polonici Mathematici
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We give upper and lower bounds for constants appearing in the L²-estimates for the ∂̅-operator due to Donnelly-Fefferman and Berndtsson.
Vadim Komkov (1974)
Annales Polonici Mathematici
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Chun-Yen Shen (2008)
Acta Arithmetica
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H. S. Gopalakrishna, V. S. Shetiya (1977)
Annales Polonici Mathematici
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Ivan, Mircea (1998)
General Mathematics
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Zdeněk Vorel (1960)
Časopis pro pěstování matematiky
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Jared Wunsch (2012)
Journées Équations aux dérivées partielles
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We discuss recent progress in understanding the effects of certain trapping geometries on cut-off resolvent estimates, and thus on the qualititative behavior of linear evolution equations. We focus on trapping that is unstable, so that strong resolvent estimates hold on the real axis, and large resonance-free regions can be shown to exist beyond it.
Damien Roy (2008)
Acta Arithmetica
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Adolf Hildebrand (1987)
Acta Arithmetica
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Yves Capdeboscq, Michael S. Vogelius (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We recently derived a very general representation formula for the boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction (cf. Capdeboscq and Vogelius (2003)). In this paper we show how this representation formula may be used to obtain very accurate estimates for the size of the inhomogeneities in terms of multiple boundary measurements. As demonstrated by our computational experiments, these estimates are significantly better than previously...