Analytic Wave Front Sets for Solutions of Linear Differential Equations of Principal Type

DOI10.2307/1996580zbMath0259.35072OpenAlexW4249973681MaRDI QIDQ5676144

K. G. Andersson

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996580

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analyticity in context of PDEs (35A20) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (5)

On micro-analyticity of the elementary solutions of hyperbolic differential equations with real analytic coefficients ⋮ The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II ⋮ The spectrum of positive elliptic operators and periodic bicharacteristics ⋮ Propagation of micro-analyticity for solutions of pseudo-differential equations. I ⋮ Propagation des singularités analytiques pour les solutions des équations aux derivées partielles

Cites Work

• Unnamed Item
• Pseudo-differential operators and Gevrey classes
• Propagation of analyticity of solutions of partial differential equations with constant coefficients
• Fourier integral operators. I
• Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols
• On the existence and the regularity of solutions of linear pseudo- differential equations
• Fourier integral operators. II
• On Carleman estimates for pseudo-differential operators
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
• Propagation of analyticity for solutions of differential equations of principal type

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