A simple proof of the existence of tangent bicharacteristics for noneffectively hyperbolic operators

DOI10.1215/21562261-2871758zbMath1320.35183OpenAlexW1517287152MaRDI QIDQ2354134

Tatsuo Nishitani

Publication date: 10 July 2015

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1433982756

zbMATH Keywords

bicharacteristic landingdoubly characteristic manifold

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (2)

Stochastic perturbation of a cubic anharmonic oscillator ⋮ Cauchy problem for hyperbolic operators with triple effective characteristics on the initial plane

Cites Work

• Cauchy problem for noneffectively hyperbolic operators
• The Cauchy problem for differential equations with double characteristics
• Geometric results for a class of hyperbolic operators with double characteristics. II
• Non effectively hyperbolic operators, Hamilton map and bicharacteristics
• Continuation of bicharacteristics for effectively hyperbolic operators

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