Results 131 to 140 of about 160,914 (245)

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

open access: yesStudies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Riemann boundary value problem for hyperanalytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
Ricardo Abreu Blaya   +2 more
doaj   +1 more source

Symmetrization and the rate of convergence of semigroups of holomorphic functions

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Let (ϕt)$(\phi _t)$, t⩾0$t\geqslant 0$, be a semigroup of holomorphic self‐maps of the unit disk D$\mathbb {D}$. Let Ω$\Omega$ be its Koenigs domain and τ∈∂D$\tau \in \partial \mathbb {D}$ be its Denjoy–Wolff point. Suppose that 0∈Ω$0\in \Omega$ and let Ω♯$\Omega ^\sharp$ be the Steiner symmetrization of Ω$\Omega$ with respect to the real axis.
Dimitrios Betsakos   +1 more
wiley   +1 more source

A fractional residue theorem and its applications in calculating real integrals

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

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