Solvability of a class of first order differential operators on the torus
From MaRDI portal
Publication:2038856
DOI10.1007/s00025-021-01413-6zbMath1469.35092OpenAlexW3157725456MaRDI QIDQ2038856
Marcelo Fernandes de Almeida, Paulo L. Dattori da Silva
Publication date: 7 July 2021
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00025-021-01413-6
periodic solutionsGevrey functionsFourier seriesglobal solvabilityglobal hypoellipticityVekua type equations
Nonlinear first-order PDEs (35F20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Hypoelliptic equations (35H10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solvability of a first order differential operator on the two-torus
- Global solvability and global hypoellipticity for a class of complex vector fields on the 3-torus
- Existence and regularity of periodic solutions to certain first-order partial differential equations
- On certain non-hypoelliptic vector fields with finite-codimensional range on the three-torus
- Solvability in the large for a class of vector fields on the torus
- Global solvability and global hypoellipticity in Gevrey classes for vector fields on the torus
- Existence of global solutions for a class of vector fields on the three-dimensional torus
- Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields
- Nonexistence of global solutions for a class of complex vector fields on two-torus
- Gevrey solvability and Gevrey regularity in differential complexes associated to locally integrable structures
- Global Solvability for a Class of Complex Vector Fields on the Two-Torus
- Globally Hypoelliptic and Globally Solvable First Order Evolution Equations
- Functions Which are Divergences
- Global Hypoellipticity and Liouville Numbers
- Hypoelliptic Vector Fields and Continued Fractions
- Solvability of a first order linear partial differential equation
This page was built for publication: Solvability of a class of first order differential operators on the torus