We study the hypoellipticity of (pseudo)differential operators in one variable when a positivity assumption is made on a suitable principal part. We prove that the found Gevrey regularity is optimal.
Antonio Bove, Marco Mughetti (2013). Analytic and Gevrey Hypoellipticity for a Class of Pseudodifferential Operators in One Variable. JOURNAL OF DIFFERENTIAL EQUATIONS, 255(4), 728-758 [10.1016/j.jde.2013.04.030].
Analytic and Gevrey Hypoellipticity for a Class of Pseudodifferential Operators in One Variable
BOVE, ANTONIO;MUGHETTI, MARCO
2013
Abstract
We study the hypoellipticity of (pseudo)differential operators in one variable when a positivity assumption is made on a suitable principal part. We prove that the found Gevrey regularity is optimal.File in questo prodotto:
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