MICROLOCAL REGULARITY FOR MIZOHATA TYPE DIFFERENTIAL OPERATORS
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Publication:3295455
DOI10.1017/S1474748018000361zbMath1442.35012OpenAlexW2893307680MaRDI QIDQ3295455
Publication date: 10 July 2020
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1474748018000361
Smoothness and regularity of solutions to PDEs (35B65) Analyticity in context of PDEs (35A20) Linear first-order PDEs (35F05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Singular integrals of functions in several complex variables (32A55) Wave front sets in context of PDEs (35A18)
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Cites Work
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- Denjoy-Carleman classes: boundary values, approximate solutions and applications
- On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs
- Approximate solutions and micro-regularity in the Denjoy-Carleman classes
- On microlocal analyticity of solutions of first-order nonlinear PDE
- Gevrey micro-regularity for solutions to first order nonlinear PDE
- A generalization of Borel's theorem and microlocal Gevrey regularity in involutive structures
- Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
- Note on a paper of F. Treves concerning Mizohata type operators
- Quelques théorème de décomposition des ultradistributions
- A necessary and sufficient condition of local integrability
- The FBI transforms and their use in microlocal analysis
- Gevrey global solvability of non-singular real first-order differential operators
- On local solvability for a class of generalized Mizohata equations
- Global \(L^q\)-Gevrey functions and their applications
- Fourier integral operators. II
- Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes
- Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
- Mapping problems in complex analysis and the \overline∂-problem
- Pseudodifferential operators of infinite order and Gevrey classes
- Almost Mizohata Operators
- On the Analyticity of Solutions of First-Order Nonlinear PDE
- Quasianalytic Denjoy-Carleman classes and o-minimality
- On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's
- On local solvability of linear partial differential equations part I: Necessary conditions
- On local solvability of linear partial differential equations—part II. Sufficient conditions
- Demarks about certain first-order linear pdf in two variables
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