Propagation des singularités analytiques pour les solutions des équations aux derivées partielles
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Publication:1220028
DOI10.5802/aif.601zbMath0312.35064OpenAlexW2316348307MaRDI QIDQ1220028
Pierre Schapira, Jean-Michel Bony
Publication date: 1976
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1976__26_1_81_0
Related Items (30)
On distribution solutions of microdifferential equations with double involutive characteristics ⋮ On a class of linear differential operators of infinite order with finite index ⋮ Pseudo differential operators with multiple characteristics and gevrey singularities ⋮ Edge-of-the-wedge type theorems for hyperfunction solutions ⋮ Unnamed Item ⋮ On a class of partially hypoelliptic microdifferential equations ⋮ Microdifferential equations with non-involutory characteristics ⋮ Goursat problem for a microdifferential operator of Fuchsian type and its application ⋮ Propagation Of Songularities Up To the Boundary Along Leaves ⋮ Micro-local Cauchy problems and local boundary value problems ⋮ Théorème d'unicité pour des vecteurs analytiques. (Uniqueness theorem for analytic vectors) ⋮ Localization and propagation of analytic singularities for operators with constant coefficients ⋮ Notes on the Cauchy-Kowalevski theorem for \({\mathcal E}\)-modules ⋮ Necessary and sufficient conditions for propagation of singularities for systems of linear partial differential operators with constant coefficients ⋮ Finiteness theorem for holonomic systems of micro-differential equations ⋮ Propagation of singularities for operators with multiple involutive characteristics ⋮ Addition de variables et application à la régularité ⋮ Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe ⋮ Propagation of analytic and differentiable singularities for solutions of partial differential equations ⋮ Propagation, reflection, and diffraction of singularities of solutions to wave equations ⋮ Propagation at the boundary and reflection of analytic singularities of solutions of linear partial differential equations. I ⋮ Micro-hyperbolic systems ⋮ Analyticite et iteres reduits d'un systeme de champs de vecteurs ⋮ The Cauchy-Kowalevski theorem for \(\mathcal E\)-modules ⋮ A remark on 2-microhyperbolicity ⋮ On the solvability of linear partial differential equations ⋮ On holonomic systems of microdifferential equations. III: Systems with regular singularities ⋮ Analytic singularities of solutions of the hyperbolic Cauchy problem ⋮ Microlocal energy methods and pseudo-differential operators ⋮ On the second microlocalization along isotropic submanifolds
Cites Work
- Pseudo-differential operators and Gevrey classes
- Construction of local elementary solutions for linear partial differential operators with real analytic coefficients. I: The case with real principal symbols
- Existence et prolongement des solutions holomorphes des équations aux dérivées partielles. (Existence and prolongation of the holomorphic solutions of partial differential equations)
- Fourier integral operators. II
- Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
- Analytic Wave Front Sets for Solutions of Linear Differential Equations of Principal Type
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