Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs
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Publication:549755
DOI10.1016/j.jmaa.2011.04.041zbMath1228.35278OpenAlexW2051443583MaRDI QIDQ549755
Rafael F. Barostichi, Gerson Petronilho
Publication date: 18 July 2011
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.041
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Cites Work
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- 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)
- The implicit function theorem for ultradifferentiable mappings
- Edge of the wedge theory in involutive structures
- Semirigid partial differential operators and microlocal analytic hypoellipticity
- On analytic microlocal hypoellipticity of linear partial differential operators of principal type
- An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
- On the Analyticity of Solutions of First-Order Nonlinear PDE
- On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's
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