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We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global hypoellipticity, in other words,… Click to show full abstract
We present conditions on the coefficients of a class of vector fields on the torus which yield a characterization of global solvability as well as global hypoellipticity, in other words, the existence and regularity of periodic solutions. Diophantine conditions and connectedness of certain sublevel sets appear in a natural way in our results.
Keywords:
periodic solutions;
certain first;
regularity periodic;
solutions certain;
existence regularity
Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2017
Link to full text (if available)
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Journal Title: Journal of Fourier Analysis and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!