Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus
DOI10.1007/s10231-021-01090-wzbMath1473.35369arXiv2007.07712OpenAlexW3135594202MaRDI QIDQ2048649
Cleber de Medeira, Fernando de Ávila Silva
Publication date: 23 August 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07712
Smoothness and regularity of solutions to PDEs (35B65) Pseudodifferential operators as generalizations of partial differential operators (35S05) Periodic solutions to PDEs (35B10) Hypoelliptic equations (35H10) Overdetermined systems of PDEs with variable coefficients (35N10)
Related Items (1)
Cites Work
- Existence and regularity of periodic solutions to certain first-order partial differential equations
- Globally solvable systems of complex vector fields
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- Study of a model in the theory of complexes of pseudodifferential operators
- Global solvability of a class of involutive systems
- On global hypoellipticity of degenerate elliptic operators
- Global hypoellipticity for a class of pseudo-differential operators on the torus
- Global hypoellipticity for a class of periodic Cauchy operators
- Globally hypoelliptic systems of vector fields
- Global Gevrey hypoellipticity on the torus for a class of systems of complex vector fields
- Global analytic and Gevrey hypoellipticity of sublaplacians under Diophantine conditions
- ON A PROBLEM POSED BY MAHLER
- Pseudo-Differential Operators and Symmetries
- Hypoelliptic overdetermined systems of partial differential equation
- Quasi-periodic solutions of nonlinear elliptic partial differential equations
- Remarks about global analytic hypoellipticity
- Global Hypoellipticity and Liouville Numbers
This page was built for publication: Global hypoellipticity for a class of overdetermined systems of pseudo-differential operators on the torus
