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of 200
pro vyhledávání: '"Irving, Christopher"'
We establish the Gauss-Green formula for extended divergence-measure fields (i.e., vector-valued measures whose distributional divergences are Radon measures) over open sets. We prove that, for almost every open set, the normal trace is a measure sup
Externí odkaz:
http://arxiv.org/abs/2410.09214
Autor:
Irving, Christopher, Koch, Lukas
We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with $(p, q)$-growth, satisfying a H\"older-growth condition in $x$. We consider both Dirichlet and Neumann boundary data. In addition, we obtain a cha
Externí odkaz:
http://arxiv.org/abs/2212.14723
We give a direct harmonic approximation lemma for local minima of quasiconvex multiple integrals that entails their $\mathrm{C}^{1,\alpha}$ or $\mathrm{C}^{\infty}$-partial regularity. Different from previous contributions, the method is fully direct
Externí odkaz:
http://arxiv.org/abs/2212.12821
Autor:
Altintas, Ilkay, Perez, Ismael, Mishin, Dmitry, Trouillaud, Adrien, Irving, Christopher, Graham, John, Tatineni, Mahidhar, DeFanti, Thomas, Strande, Shawn, Smarr, Larry, Norman, Michael L.
Influenced by the advances in data and computing, the scientific practice increasingly involves machine learning and artificial intelligence driven methods which requires specialized capabilities at the system-, science- and service-level in addition
Externí odkaz:
http://arxiv.org/abs/2211.06918
Autor:
Irving Christopher, Koch Lukas
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 359-390 (2023)
We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data. In addition, we obtain
Externí odkaz:
https://doaj.org/article/a0e7338ef7e3480eb1f6d1cc0013af4d
Autor:
Irving, Christopher
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 $\Delta_2$ and $\nabla_
Externí odkaz:
http://arxiv.org/abs/2111.14740
Autor:
Irving, Christopher
Publikováno v:
Calc. Var. 62, 166 (2023)
We will establish an $\varepsilon$-regularity result for weak solutions to Legendre-Hadamard elliptic systems, under the a-priori assumption that the gradient $\nabla u$ is small in $\mathrm{BMO}.$ Focusing on the case of Euler-Lagrange systems to si
Externí odkaz:
http://arxiv.org/abs/2109.07265
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