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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Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]
Sci RepOudjedi-Damerdji LF +4 more
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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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S-shaped Utility Maximization with VaR Constraint and Partial Information. [PDF]
J Optim Theory ApplZhu D, Davey A, Zheng H.
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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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Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Math AnnPoiatti A.
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Bridging barriers, integrating insights: The Gotham approach to CTSA collaborative evaluation. [PDF]
J Clin Transl SciKane CT +10 more
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Lipschitz Continuity and Formulas of the Gradient Vector of the SRB Entropy Functional [PDF]
Jianyu Chen, Miaohua Jiang
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