Global analytic and Gevrey solvability of sublaplacians under Diophantine conditions |
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| Authors: | A A Albanese P Popivanov |
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| Institution: | (1) Dipartimento di Matematica “E. De Giorgi”, Università di Lecce, Via Per Arnesano, P.O. Box 193 I-73100, Lecce, Italy;(2) Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev str. 8, 1113, Sofia, Bulgaria |
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| Abstract: | In this paper we consider the problem of global analytic and Gevrey solvability for a class of partial differential operators
on a torus in the form of squares of vector fields. We prove that global analytic and Gevrey solvability on the torus is equivalent
to certain Diophantine approximation properties.
Mathematics Subject Classification (2000) 35D05, 46E10, 46F05, 58J99 |
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| Keywords: | Global analytic and Gevrey solvability Diophantine approximation property |
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