On differences of heat semigroups
J. A. Van Casteren, M. Demuth (1989)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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J. A. Van Casteren, M. Demuth (1989)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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Zhongwei Shen (1996)
Journées équations aux dérivées partielles
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Victor Ivrii (1987)
Journées équations aux dérivées partielles
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Ari Laptev, Timo Weidl (2000)
Journées équations aux dérivées partielles
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We give a survey of results on the Lieb-Thirring inequalities for the eigenvalue moments of Schrödinger operators. In particular, we discuss the optimal values of the constants therein for higher dimensions. We elaborate on certain generalisations and some open problems as well.
Nicholas Th. Varopoulos (1992)
Revista Matemática Iberoamericana
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Nicholas Th. Varopoulos (1993)
Revista Matemática Iberoamericana
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This is the second instalment of my previous paper with the same title, [1]. This paper consists of two different parts. The first part is devoted to improvements of the results developed in [1]. These improvements are described in section 0.1 below and developed in sections 1 to 5, and 9 to 10; they are in fact technically distinct from [1] and rely on a systematic use of microlocalisation in the context of Hörmander-Weyl calculus. These paragraphs can therefore be read quite independently...
Victor Ivrii (1991)
Journées équations aux dérivées partielles
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G. Metafune (1998)
Studia Mathematica
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We study the analyticity of the semigroups generated by some degenerate second order differential operators in the space C([α,β]), where [α,β] is a bounded real interval. The asymptotic behaviour and regularity with respect to the space variable are also investigated.