Effie Papageorgiou,Jordy Timo van Velthoven
Effie Papageorgiou
We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary density conditions for coherent frames and Riesz sequences for ...
Partial regularity for minima of higher-order quasiconvex integrands with natural Orlicz growth [0.03%]
具自然Orlicz增长的高阶拟凸泛函极小的正则性
Christopher Irving
Christopher Irving
A partial regularity theorem is presented for minimisers of k th -order functionals subject to a quasiconvexity and general growth condition. We will assume a natural growth condition governed by an N-function satisfying the Δ 2 and ...
Optimal and typical [Formula: see text] discrepancy of 2-dimensional lattices [0.03%]
二维晶格的最优和典型[公式见正文]离差
Bence Borda
Bence Borda
We undertake a detailed study of the L 2 discrepancy of 2-dimensional Korobov lattices and their irrational analogues, either with or without symmetrization. We give a full characterization of such lattices with optimal L 2 discrepancy in...
Kristian Moring,Leah Schätzler,Christoph Scheven
Kristian Moring
We prove a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems whose prototype is ∂ t | u | q - 1 u - div | D u | p - 2 D u = div | F | p - 2 F in Ω...
A comparison principle for doubly nonlinear parabolic partial differential equations [0.03%]
双重非线性抛物型偏微分方程的比较原理
Verena Bögelein,Michael Strunk
Verena Bögelein
In this paper, we derive a comparison principle for non-negative weak sub- and super-solutions to doubly nonlinear parabolic partial differential equations whose prototype is ∂tuq-div(|∇u|p-2∇u)=0inΩT,with q>0 and p>1...
V Branding,S Montaldo,C Oniciuc et al.
V Branding et al.
In this paper, we shall assume that the ambient manifold is a pseudo-Riemannian space form N t m + 1 ( c ) of dimension m + 1 and index t ( m ≥ 2 and 1 ≤ t ≤ m ). We shall study hypersurfaces M t ' m which are pol...
Udo Hertrich-Jeromin,Gudrun Szewieczek
Udo Hertrich-Jeromin
We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the underlying circle congruences are investigated in detail and char...
Free surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitude [0.03%]
依赖深度和纬度的间断性分层球坐标赤道自由面流
Calin Martin,Adrian Petruşel
Calin Martin
We derive and subsequently analyze an exact solution of the geophysical fluid dynamics equations which describes equatorial flows (in spherical coordinates) and has a discontinuous fluid stratification that varies with both depth and latitu...
Gioacchino Antonelli,Enrico Le Donne
Gioacchino Antonelli
We generalize both the notion of polynomial functions on Lie groups and the notion of horizontally affine maps on Carnot groups. We fix a subset S of the algebra g of left-invariant vector fields on a Lie group G and we assume that S Lie ge...
Arthur Bik,Henrik Eisenmann
Arthur Bik
A Jordan net (resp. web) is an embedding of a unital Jordan algebra of dimension 3 (resp. 4) into the space S n of symmetric n × n matrices. We study the geometries of Jordan nets and webs: we classify the congruence orbits of Jorda...