Generalization bounds for a generator-regularized InfoGAN-inspired adversarial objective. [PDF]
Front Artif IntellHasan M, Muia MN, Islam MM.
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Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
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Pathwise uniqueness and non-explosion property of Skorohod SDEs with a class of non-Lipschitz coefficients and non-smooth domains [PDF]
, 2020 Masanori Hino +2 more
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Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]
J Nonlinear SciCarrillo JA, Esposito A, Mikolás L.
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Densities with the mean value property for harmonic functions in a Lipschitz domain
, 1997 Hiroaki Aikawa
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Existence of viscosity solutions to abstract Cauchy problems via nonlinear semigroups
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract In this work, we provide conditions for nonlinear monotone semigroups on locally convex vector lattices to give rise to a generalized notion of viscosity solutions to a related nonlinear partial differential equation. The semigroup needs to satisfy a convexity estimate, so called K$K$‐convexity, with respect to another family of operators ...
Fabian Fuchs, Max Nendel
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On Shape Optimization with Large Magnetic Fields in Two Dimensions. [PDF]
J Geom AnalLotoreichik V, Morin L.
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Hearing pseudoconvexity in Lipschitz domains with holes via $\overline\partial$ [PDF]
, 2016 Siqi Fu +2 more
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Fine dissipative properties of Euler solutions with measure first derivatives
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We study fine properties of bounded weak solutions to the incompressible Euler equations whose first derivatives, or only some combinations of them, are Radon measures. As consequences we obtain elementary proofs of the local energy conservation for solutions with bounded variation or deformation, without relying on the freedom in choosing the
Marco Inversi
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