On the Gevrey regularity of hypoelliptic boundary value problems (Q1822686)

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scientific article; zbMATH DE number 4113120
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On the Gevrey regularity of hypoelliptic boundary value problems
scientific article; zbMATH DE number 4113120

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    On the Gevrey regularity of hypoelliptic boundary value problems (English)
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    1988
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    The author gives a necessary and sufficient condition in order that any solution of the boundary value problem \[ P(D,D_ t)u=f;\quad Q_ j(D,D_ t)u|_{t=0}=g_ j,\quad 1\leq j\leq \mu \] belongs to the Gevrey class \(G^ d\), \(d>1\). Similar results have been obtained by Barros-Neto and Artino (Dekker N.W. 1980).
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    boundary value problems
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    hypoelliptic equations
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    Gevrey class
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