Propagation of singularities and uniqueness in the cauchy problem at a class of doubly characteristic points

DOI10.1080/03605308108820198zbMath0465.35055OpenAlexW2004036016MaRDI QIDQ3916908

Shizuo Nakane

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/03605308108820198

zbMATH Keywords

Cauchy problemanalytic wave front setshyperfunction solutionsbranching of singular spectra

Mathematics Subject Classification ID

Related Items (10)

Singular cauchy problems for a class of weakly hyperbolic differential operators ⋮ Microdifferential equations with non-involutory characteristics ⋮ Branching of singularities for degenerate hyperbolic operators and Stokes phenomena. II ⋮ Singular Cauchy problems for second order partial differential operators with non-involutory characteristics ⋮ Exact propagators for some degenerate hyperbolic operators ⋮ Exact solutions and branching of singularities for some hyperbolic equations in two variables ⋮ Branching of singularities for degenerate hyperbolic operators ⋮ A canonical form of a system of microdifferential equations with non- involutory characteristics and branching of singularities ⋮ Singular Cauchy problems for a class of weakly hyperbolic differential operators ⋮ Cauchy problems for mixed-type operators

Cites Work

• Branching of singularities for degenerate hyperbolic operators and Stokes phenomena
• Discrete Phenomena in Uniqueness in the Cauchy Problem
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
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