The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta (2003)
Annales de l'I.H.P. Analyse non linéaire
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Riccardo Adami, Gianfausto Dell'Antonio, Rodolfo Figari, Alessandro Teta (2003)
Annales de l'I.H.P. Analyse non linéaire
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E. Egerváry, P. Turán (1951)
Studia Mathematica
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H. König, D. Lewis, P.-K. Lin (1983)
Studia Mathematica
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G. Kolesnik (1985)
Acta Arithmetica
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Annamaria Montanari, Daniele Morbidelli (2004)
Annales de l’institut Fourier
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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
Ioan Serb (2001)
Collectanea Mathematica
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Variants of Khintchine's inequality with coefficients depending on the vector dimension are proved. Equality is attained for different types of extremal vectors. The Schur convexity of certain attached functions and direct estimates in terms of the Haagerup type of functions are also used.
Jerzy Sawa (1985)
Studia Mathematica
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Kerbashev, Tzvetozar (1999)
Serdica Mathematical Journal
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The maximum M of a critical Bienaymé-Galton-Watson process conditioned on the total progeny N is studied. Imbedding of the process in a random walk is used. A limit theorem for the distribution of M as N → ∞ is proved. The result is trasferred to the non-critical processes. A corollary for the maximal strata of a random rooted labeled tree is obtained.