Parametrix of certain weakly hyperbolic operators

DOI10.1080/03605308008820156zbMath0445.35083OpenAlexW2048150906MaRDI QIDQ3889483

Gen Nakamura, Hitoshi Uryu

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/03605308008820156

zbMATH Keywords

Cauchy problemparametrixFourier integral operatorsprincipal symbolbranching of singularitiesdegenerate linear hyperbolic partial differential operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Hyperbolic equations and hyperbolic systems (35L99) Pseudodifferential operators and other generalizations of partial differential operators (35S99) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (9)

Singular cauchy problems for a class of weakly hyperbolic differential operators ⋮ Branching of singularities for degenerate hyperbolic operators and Stokes phenomena ⋮ Branching of singularities for degenerate hyperbolic operators and Stokes phenomena. II ⋮ On the mixed problems for weakly hyperbolic equations of second order ⋮ ENERGY ESTIMATES FOR WEAKLY HYPERBOLIC SYSTEMS OF THE FIRST ORDER ⋮ Mixed problems for singular and degenerate hyperbolic equations ⋮ Branching of singularities for degenerate hyperbolic operators ⋮ Singular Cauchy problems for a class of weakly hyperbolic differential operators ⋮ On energy inequalities and regularity of solutions to weakly hyperbolic Cauchy problems

Cites Work

• Unnamed Item
• Conditions for well-posedness in Gevrey classes of the Cauchy problems for Fuchsian hyperbolic operators
• Fundamental solutions for operators of regularly hyperbolic type
• Construction of a parametrix for the Cauchy problem of some weakly hyperbolic equation. I
• Fundamental solution for a hyperbolic system with diagonal principal part
• The Cauchy Problem for Weakly Hyperbolic Equations
• On matching methods in turning point problems

This page was built for publication: Parametrix of certain weakly hyperbolic operators