Global Cauchy problems modulo flat functions

DOI10.1016/0001-8708(84)90009-4zbMath0565.35019OpenAlexW2065054105MaRDI QIDQ1058665

Jorge G. Hounie

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90009-4

zbMATH Keywords

existenceexact solutionquasilinearflat solutionnonlinear Cauchy problemsmooth initial data

Mathematics Subject Classification ID

Initial value problems for nonlinear first-order PDEs (35F25) Solutions to PDEs in closed form (35C05)

Related Items

A similarity principle for complex vector fields and applications ⋮ Boundary behavior of generalized analytic functions ⋮ Global hypoellipticity of planar complex vector fields ⋮ Pseudodifferential operators on local Hardy spaces ⋮ Global solvability and global hypoellipticity of complex vector fields on surfaces ⋮ On the convergence of the baouendi-treves approximation formula ⋮ Uniqueness in the Cauchy problem for first order operator with C k coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• First-order linear PDEs and uniqueness in the Cauchy problem
• Fourier integral operators. II
• Approximate solutions to Cauchy problems
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions

This page was built for publication: Global Cauchy problems modulo flat functions