Pontryagin’s Maximum Principle for the Loewner Equation in Higher Dimensions
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Publication:5264282
DOI10.4153/CJM-2014-027-6zbMath1326.32027arXiv1402.6896OpenAlexW2963372555MaRDI QIDQ5264282
Publication date: 27 July 2015
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.6896
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Optimality conditions for problems involving ordinary differential equations (49K15) General theory of univalent and multivalent functions of one complex variable (30C55)
Related Items (14)
Bounded support points for mappings with \(g\)-parametric representation in \(\mathbb{C}^2\) ⋮ Variation of Loewner chains, extreme and support points in the class \(S^0\) in higher dimensions ⋮ Support points and extreme points for mappings with \(A\)-parametric representation in \(\mathbb C^n\) ⋮ Support points for families of univalent mappings on bounded symmetric domains ⋮ Extremal problems for mappings with generalized parametric representation in \({\mathbb {C}}^{n}\) ⋮ On reachable families of the Loewner differential equation in several complex variables ⋮ On the parametric representation of univalent functions on the polydisc ⋮ Loewner chains and nonlinear resolvents of the Carathéodory family on the unit ball in \(\mathbb{C}^n\) ⋮ Approximation properties of univalent mappings on the unit ball in \(\mathbb{C}^n\) ⋮ Support Points and the Bieberbach Conjecture in Higher Dimension ⋮ Extremal Problems for Mappings with g-Parametric Representation on the Unit Polydisc in ℂ n ⋮ Approximation of univalent mappings by automorphisms and quasiconformal diffeomorphismsin \(\mathbb{C}^n\) ⋮ Convergence results for families of univalent mappings on the unit ball in C^n ⋮ A density result for parametric representations in several complex variables
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