Solvability of a first order differential operator on the two-torus

DOI10.1016/j.jmaa.2014.02.006zbMath1302.35106OpenAlexW2081732739MaRDI QIDQ402966

J. Herrera, H. S. Yoon

Publication date: 29 August 2014

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.2014.02.006

zbMATH Keywords

periodic solutionsvector fieldsglobal solvabilitycomplex coefficientsdegenerate ellipticDiophantine properties

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Linear first-order PDEs (35F05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (2)

Solvability of a class of first order differential operators on the torus ⋮ Regularity of solutions to a Vekua-type equation on compact Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solvability in the large for a class of vector fields on the torus
• Generalized analytic functions on Riemann surfaces
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• Perturbations of globally hypoelliptic operators
• Singular integral operators on Riemann surfaces and elliptic differential systems
• Nonrigidity of a class of two dimensional surfaces with positive curvature and planar points
• On first and second order planar elliptic equations with degeneracies
• Global Solvability for a Class of Complex Vector Fields on the Two-Torus
• Representation of solutions of a singular Cauchy–Riemann equation in the plane
• Solvability of planar complex vector fields with homogeneous singularities
• Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
• Functions Which are Divergences
• Global Hypoellipticity and Liouville Numbers
• Solvability of a first order linear partial differential equation

This page was built for publication: Solvability of a first order differential operator on the two-torus