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作者:Takeshi Saito
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (3), pp.373-426Project Euclid
摘要:We give a purely scheme theoretic construction of the filtration by ramification groups of the Galois group of a covering. The valuation need not be discrete but the normalizations are required to be locally of complete intersection.
作者:Giao Ky Duong , Van Tien Nguyen , Hatem Zaag
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (1), pp.13-45Project Euclid
摘要:We consider the semilinear heat equation(#br) ∂ t u = Δ u + | u | p − 1 u ln α ( u 2 + 2 ) (#br)in the whole space ℝ n , where p > 1 and α ∈ ℝ . Unlike the standard case α = 0 , this equation is not scaling invariant. We construct for this equation a solution which...
作者:Makhlouf Derridj
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (3), pp.321-345Project Euclid
摘要:Given a general Hörmander’s operator P = ∑ j = 1 m X j 2 + Y + b in an open set Ω ⊂ ℝ n , where Y , X 1 , … , X m are smooth real vector fields in Ω , b ∈ C ∞ ( Ω ) , and given also an open, relatively compact set Ω 0 with Ω ¯ 0 ⊂ Ω , and s ...
作者:Michael S. Weiss
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (1), pp.109-126Project Euclid
摘要:It was shown by Boavida de Brito and Weiss ( J. Topol. 11 :1 (2018), 65–143) that a well-known construction which to a (monochromatic, symmetric) topological operad associates a topological category and a functor from it to the category of finite sets is homotopically fully ...
作者:Zied Ammari , Sébastien Breteaux , Francis Nier
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (2), pp.221-272Project Euclid
摘要:We study, via multiscale analysis, a defect-of-compactness phenomenon which occurs in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of mean-field asymptotics and second microlocalized semiclassical measures. The phase space geometric desc...
作者:Jean-Yves Chemin , Isabelle Gallagher
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (2), pp.273-293Project Euclid
摘要:The purpose of this article is to establish bounds from below for the life span of regular solutions to the incompressible Navier–Stokes system, which involve norms not only of the initial data, but also of nonlinear functions of the initial data. We provide examples showing...
作者:Jean-Louis Colliot-Thélène
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (1), pp.47-57Project Euclid
摘要:Sur un corps algébriquement clos et sur un corps fini, on établit de nouveaux résultats d’annulation pour la cohomologie non ramifiée de degré 3 des hypersurfaces de Fano.
作者:Jacques Faraut
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (4), pp.585-606Project Euclid
摘要:Let A and B be two n × n Hermitian matrices. Assume that the eigenvalues α 1 , … , α n of A are known, as well as the eigenvalues β 1 , … , β n of B . What can be said about the eigenvalues of the sum C = A + B ? This is Horn’s problem. We revisit this question fro...
作者:Robert M. Guralnick , Nicholas M. Katz , Pham Huu Tiep
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (3), pp.295-320Project Euclid
摘要:We show that some very simple to write one parameter families of exponential sums on the affine line in characteristic p have alternating groups as their geometric monodromy groups.
作者:Pascal Auscher , Simon Bortz , Moritz Egert ...
来源:[J].Tunisian Journal of Mathematics, 2019, Vol.1 (2), pp.151-183Project Euclid
摘要:A functional analytic approach to obtaining self-improving properties of solutions to linear nonlocal elliptic equations is presented. It yields conceptually simple and very short proofs of some previous results due to Kuusi–Mingione–Sire and Bass–Ren. Its flexibility i...

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