Existence of a linear Pfaff system with arbitrary bounded disconnected lower characteristic set of positive Lebesgue \(m\)-measure

DOI10.1134/S0012266116100062zbMath1365.58002MaRDI QIDQ517140

A. S. Platonov, S. G. Krasovskii

Publication date: 16 March 2017

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Pfaffian systemslower characteristic sets

Mathematics Subject Classification ID

Pfaffian systems (58A17) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items

Construction of a linear Pfaff system with \(m\)-dimensional time and with given characteristic set and lower characteristic set

Cites Work

• On the existence of linear Pfaff systems with lower characteristic sets of positive Lebesgue \(m\)-measure
• Existence of linear Pfaffian systems whose lower characteristic set has positive measure in \(\mathbb{R}^3\)
• Existence of linear Pfaff systems with lower characteristic set consisting of countably many segments in the space \(\mathbb R^3\)
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