Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations

DOI10.1070/SM8720zbMath1356.35014arXiv1607.04042OpenAlexW3101139305MaRDI QIDQ2957860

Victor A. Vassiliev

Publication date: 30 January 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04042

zbMATH Keywords

sharpnessmorsificationPetrovskii criterionPetrovskii cycle

Mathematics Subject Classification ID

Initial value problems for higher-order hyperbolic equations (35L30) Wave front sets in context of PDEs (35A18)

Related Items (3)

Hamiltonian operators in differential algebras ⋮ Unnamed Item ⋮ New examples of irreducible local diffusion of hyperbolic PDE's

Cites Work

• Unnamed Item
• Intersection matrices for certain singularities of functions of two variables
• Dynkin diagrams for singularities of functions of two variables
• Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
• Sharp fronts of paired oscillatory integrals
• Intersection matrices for certain singularities
• Lacunas for hyperbolic differential operators with constant coefficients.I
• Lacunas for hyperbolic differential operators with constant coefficients. II
• THE MONODROMY GROUPS OF ISOLATED SINGULARITIES OF HYPERSURFACES
• Un prolongement de la transformation de Laplace qui transforme la solution unitaire d'un opérateur hyperbolique en sa solution élémentaire. (Problème de Cauchy. IV.)

This page was built for publication: Local Petrovskii lacunas close to parabolic singular points of the wavefronts of strictly hyperbolic partial differential equations