Every \(P\)-convex subset of \({\mathbb{R}^2}\) is already strongly \(P\)-convex

DOI10.1007/s00209-010-0765-7zbMath1250.35066arXiv0907.3037OpenAlexW1607629003MaRDI QIDQ658324

Thomas Kalmes

Publication date: 12 January 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3037

zbMATH Keywords

propagation of regularityTreves' conjecture

Mathematics Subject Classification ID

General theory of PDEs and systems of PDEs with constant coefficients (35E20) Singularity in context of PDEs (35A21) Convexity properties of solutions to PDEs with constant coefficients (35E10) Wave front sets in context of PDEs (35A18)

Related Items (6)

Linear topological invariants for kernels of convolution and differential operators ⋮ Some results on surjectivity of augmented differential operators ⋮ Topological properties of kernels of partial differential operators ⋮ Surjectivity of differential operators and linear topological invariants for spaces of zero solutions ⋮ A homological approach to the splitting theory of \(\mathrm{PLS}_{\mathrm{w}}\) spaces ⋮ An approximation theorem of Runge type for kernels of certain non-elliptic partial differential operators

Cites Work

• Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
• On the range of convolution operators
• Some results on surjectivity of augmented semi-elliptic differential operators
• Unnamed Item

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