Lipschitz continuity for weighted harmonic functions in the unit disc [PDF]
, 2019 Anders Olofsson
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On ``Lipschitz'' subspaces of the space of continuous functions
, 1995 The main result of the paper is that certain ``good'' closed subspace \(S\) of the Banach space \(C(K)\) of all complex valued functions continuous on a compact metric space \(K\) is ``small''. More precisely, if \(S\) is a closed linear subspace of \(C(K)\) such that for every \(f\in S\) \[ \sup _{\delta >0}\frac {\omega _f(\delta)}{\omega (\delta)}
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]
Rev R Acad Cienc Exactas Fis Nat A MatZimmermann P.
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Approximations and Lipschitz continuity in p-adic semi-algebraic and\n subanalytic geometry [PDF]
, 2010 Raf Cluckers, Immanuel Halupczok
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Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
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Gradient regularity for widely degenerate elliptic partial differential equations. [PDF]
SN Partial Differ Equ ApplStrunk M.
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Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle
Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
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Hawking's Singularity Theorem for Lipschitz Lorentzian Metrics. [PDF]
Commun Math PhysCalisti M +4 more
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Log-Lipschitz continuity of the vector field on the attractor of certain parabolic equations [PDF]
, 2014 Eleonora Pinto de Moura +1 more
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