Loewner theory in annulus I: Evolution families and differential equations

DOI10.1090/S0002-9947-2012-05718-7zbMath1281.30007arXiv1011.4253MaRDI QIDQ2838074

Pavel Gumenyuk, Santiago Diaz-Madrigal, Manuel D. Contreras

Publication date: 8 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4253

zbMATH Keywords

annulusevolution familyunivalent functionsparametric representationLoewner chainsLoewner evolution

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal mappings of special domains (30C20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items

Löwner equations and reductions of dispersionless hierarchies ⋮ Loewner chains and evolution families on parallel slit half-planes ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Topological Loewner theory on Riemann surfaces ⋮ On Villat’s Kernels and BMD Schwarz Kernels in Komatu-Loewner Equations ⋮ Komatu-Loewner differential equations ⋮ Chordal Loewner chains with quasiconformal extensions ⋮ Quasiconformal extensions, Loewner chains, and the \(\lambda \)-lemma ⋮ Loewner theory in annulus. II: Loewner chains ⋮ Boundary regular fixed points in Loewner theory ⋮ Conformal modulus of the exterior of two rectilinear slits ⋮ Dispersionless Pfaff-Toda hierarchy and elliptic Löwner equation ⋮ Classical and Stochastic Löwner–Kufarev Equations

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