Analyticity and Smoothness for a Class of First Order Nonlinear PDEs

DOI10.1007/978-3-319-17443-3_7zbMath1327.35061OpenAlexW2336231642MaRDI QIDQ3447483

Shiferaw Berhanu

Publication date: 27 October 2015

Published in: Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17443-3_7

zbMATH Keywords

FBI transformmicrolocal analyticitymicrolocal smoothness

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Wave front sets in context of PDEs (35A18)

Related Items (1)

On some systems of real or complex vector fields and their related Laplacians

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs
• On microlocal analyticity of solutions of first-order nonlinear PDE
• Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
• A necessary and sufficient condition of local integrability
• Normalization of complex-valued planar vector fields which degenerate along a real curve
• Semirigid partial differential operators and microlocal analytic hypoellipticity
• Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
• Uniqueness in certain first-order nonlinear complex cauchy problems
• On analytic microlocal hypoellipticity of linear partial differential operators of principal type
• On the C ∞ Wave-Front Set of Solutions of First-Order Nonlinear PDE's
• An F. and M. Riesz theorem for planar vector fields

This page was built for publication: Analyticity and Smoothness for a Class of First Order Nonlinear PDEs