Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 83–96
Abstract
In this paperwe give a newproof regarding the regularity of solutions to hypoelliptic partial differential equations with constant coefficients. On the assumption of existence, we provide a spectral representation for the solution and use this spectral representation to deduce regularity results. By exploiting analyticity properties of the terms within the spectral representation, we are able to give simple estimates for the size of the derivatives of the solutions and interpret them in terms of Gevrey classes.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n1.6
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 83–96
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Hypoelliptic operators
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