Analytic hypoellipticity - Open Access .click

Annals of Mathematics, 1992
In this paper the authors prove that if you consider in $\mathbb{C}^ 2$ a hypersurface ${\mathcal S}$ determined by $\text{Im} z_ 2=P(z_ 1)=|\text{Re} z_ 1|^ m$, where $m$ is an even integer $\geq 4$, then the distribution $K(z,t)$ on $\mathbb{C}\times\mathbb{R}$, ${\mathcal S}$ associated to the Szegö kernel $S((z,t);(w,s))$ by \(K(z,
Michael Christ
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Gevrey and Analytic Hypoellipticity

1997
In these lectures we study sharp (non-isotropic) Gevrey (and analytic) hypoellipticity for partial differential operators P which are constructed as variable coefficient quadratic polynomials in real vector fields satisfying the Hormander condition and which satisfy a maximal estimate.
David Tartakoff, Tartakoff David S
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Analytic Hypoellipticity of Operators of Principal Type

North-Holland Mathematics Studies, 1979
Publisher Summary This chapter discusses analytic hypoellipticity of operators of principal type. For differential operators of principal type, the following properties are equivqlent—hypoellipticity, analytic-hypoellipticity, sub-ellipticity. The chapter presents the fact that, for operators of principal type, the hypoellipticity condition implies ...
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Hyperfunctions and (analytic) hypoellipticity

Mathematische Annalen, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cordaro, Paulo D., Hanges, Nicholas
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hypoelliptic equations
sums of squares of vector fields
fos: mathematics

treves conjecture
analysis
smoothness and regularity of solutions to pdes

mathematics - analysis of pdes
analysis of pdes math.ap
analyticity in context of pdes