Sur l'unicité dans le problème de Cauchy
S. Mizohata (1979-1980)
Séminaire Équations aux dérivées partielles (Polytechnique)
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S. Mizohata (1979-1980)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Chistov, A.L. (2005)
Zapiski Nauchnykh Seminarov POMI
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(1998)
Annales Polonici Mathematici
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Jan Denef (1990-1991)
Séminaire Bourbaki
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Nicholas M. Katz (1987-1988)
Séminaire Bourbaki
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Mourad Bellassoued (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we study the uniqueness problem for the Lamé system. We prove that we have the uniqueness property across any non characteristic surface. We also give two results which apply to the boundary controllability for the Lamé system.
Nicholas Katz (1971-1972)
Séminaire Bourbaki
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Teddy Mignot (2016)
Acta Arithmetica
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We demonstrate the Batyrev-Manin Conjecture for the number of points of bounded height on hypersurfaces of some toric varieties whose rank of the Picard group is 2. The method used is inspired by the one developed by Schindler for the case of hypersurfaces of biprojective spaces and by Blomer and Brüdern for some hypersurfaces of multiprojective spaces. These methods are based on the Hardy-Littlewood circle method. The constant obtained in the final asymptotic formula is the one conjectured...
Jean-Paul Bézivin (2013)
Acta Arithmetica
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We prove an inequality linking the growth of a generalized Wronskian of m p-adic power series to the growth of the ordinary Wronskian of these m power series. A consequence is that if the Wronskian of m entire p-adic functions is a non-zero polynomial, then all these functions are polynomials. As an application, we prove that if a linear differential equation with coefficients in ℂₚ[x] has a complete system of solutions meromorphic in all ℂₚ, then all the solutions of the differential...
Moukaddem, N. (2001)
Rendiconti del Seminario Matematico
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Isao Nakai (1998)
Annales de la faculté des sciences de Toulouse
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Aurélien Djament (2016)
Fundamenta Mathematicae
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We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors (notion introduced by Djament and Vespa) from a small symmetric monoidal category whose unit is an initial object to an abelian category. We prove in particular that the category of polynomial functors from the category of free abelian groups ℤⁿ with split monomorphisms to abelian groups is "almost" locally noetherian. We...
Wei Min Wang (1998-1999)
Séminaire Équations aux dérivées partielles
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We study a class of holomorphic complex measures, which are close in an appropriate sense to a complex Gaussian. We show that these measures can be reduced to a product measure of real Gaussians with the aid of a maximum principle in the complex domain. The formulation of this problem has its origin in the study of a certain class of random Schrödinger operators, for which we show that the expectation value of the Green’s function decays exponentially.
Moez Ben Abid (2009)
Colloquium Mathematicae
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We discuss the almost sure existence of random functions that can be written as sums of elementary pulses. We then estimate their uniform Hölder regularity by applying some results on coverings by random intervals.