Bott Integrability and Higher Integrability; Higher Cheeger-Simons and Godbillon-Vey Invariants
, 2022 arXiv admin note: text overlap with arXiv:1808.07911 by other ...
Attie, Oliver, Cappell, Sylvain
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Higher Integrability for Constrained Minimizers of Integral Functionals with (p,q)-Growth in low dimension [PDF]
, 2017 We prove higher summability for the gradient of minimizers of strongly convex integral functionals of the Calculus of Variations with (p,q)-Growth conditions in low dimension. Our procedure is set in the framework of Fractional Sobolev Spaces and renders
C. Filippis
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Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
Advances in Mathematical Physics, 2021 The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable ...
Bo Ren
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On the breakdown of perturbative integrability in large N matrix models
, 2005 We study the perturbative integrability of the planar sector of a massive SU(N) matrix quantum mechanical theory with global SO(6) invariance and Yang-Mills-like interaction.
A.A. Tseytlin +18 more
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Higher integrability for weak solutions to a degenerate parabolic system with singular coefficients
Boundary Value Problems, 2019 In this paper, we study the degenerate parabolic system uti+Xα∗(aijαβ(z)Xβuj)=gi(z,u,Xu)+Xα∗fiα(z,u,Xu), $$ u_{t}^{i} + X_{\alpha }^{*} \bigl(a_{ij}^{\alpha \beta }(z){X_{\beta }} {u^{j}}\bigr) = {g_{i}}(z,u,Xu) + X_{\alpha }^{*} f_{i}^{\alpha }(z,u,Xu),
Yan Dong, Guangwei Du, Kelei Zhang
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Mosco convergence for $H$ (curl) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems [PDF]
Journal of the European Mathematical Society (Print), 2016 This paper is concerned with the scattering problem for time-harmonic electromagnetic waves, due to the presence of scatterers and of inhomogeneities in the medium.
Hongyu Liu, L. Rondi, Jingni Xiao
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Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions
Boundary Value Problems, 2018 We study the Hölder continuity of weak solution u to an equation arising in the stationary motion of electrorheological fluids. To this end, we first obtain higher integrability of Du in our case by establishing a reverse Hölder inequality.
Zhong Tan, Jianfeng Zhou, Wenxuan Zheng
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Method for searching higher symmetries for quad graph equations
, 2011 Generalized symmetry integrability test for discrete equations on the square lattice is studied. Integrability conditions are discussed. A method for searching higher symmetries (including non-autonomous ones) for quad graph equations is suggested based ...
Garifullin, Rustem N. +2 more
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Higher gauge theory—differential versus integral formulation [PDF]
Journal of Mathematical Physics, 2004 The term higher gauge theory refers to the generalization of gauge theory to a theory of connections at two levels, essentially given by 1- and 2-forms. So far, there have been two approaches to this subject. The differential picture uses non-Abelian 1- and 2-forms in order to generalize the connection 1-form of a conventional gauge theory to the next ...
Girelli, Florian, Pfeiffer, Hendryk
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Higher integrability theorems on time scales from reverse Hölder's inequalities
Applicable Analysis and Discrete Mathematics, 2019 In this paper, we establish some new reverse dynamic inequalities and use them to prove some higher integrability theorems for decreasing functions on time scales. In order to derive our main results, we first prove a new dynamic inequality for convex
H. Saker, M. M. Osman, M. Krnić
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