Analytic Wave Front Sets for Solutions of Linear Differential Equations of Principal Type
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Publication:5676144
DOI10.2307/1996580zbMath0259.35072OpenAlexW4249973681MaRDI QIDQ5676144
Publication date: 1973
Full work available at URL: https://doi.org/10.2307/1996580
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
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- Pseudo-differential operators and Gevrey classes
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- 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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