An extension of Hörmander's theorem for infinitely degenerate second-order operators

DOI10.1215/S0012-7094-95-07822-3zbMath0840.60053OpenAlexW1529641647MaRDI QIDQ1902021

Salah-Eldin A. Mohammed, Denis R. Bell

Publication date: 18 June 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-95-07822-3

zbMATH Keywords

Hörmander's theoremhypoellipticity of degenerate operators

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Stochastic calculus of variations and the Malliavin calculus (60H07) Second-order parabolic equations (35K10)

Related Items

Coercive inequalities for Hörmander type generators in infinite dimensions ⋮ The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators ⋮ Global hypoellipticity and simultaneous approximability in ultradifferentiable classes ⋮ The differentiation of hypoelliptic diffusion semigroups ⋮ Global hypoellipticity and simultaneous approximability ⋮ Smoothness of densities for path-dependent SDEs under Hörmander's condition ⋮ On Gevrey regularity of globally \(C^{\infty}\) hypoelliptic operators ⋮ Divergence theorems in path space ⋮ Divergence theorems in path space. II: Degenerate diffusions ⋮ Superdegenerate hypoelliptic differential operators ⋮ Hypoellipticity of some degenerate subelliptic operators ⋮ Loss of derivatives for systems of complex vector fields and sums of squares ⋮ Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus ⋮ The Malliavin calculus and hypoelliptic differential operators ⋮ On 𝐶^{∞} and Gevrey regularity of sublaplacians

Cites Work

• Hypoellipticity for infinitely degenerate elliptic operators
• The Malliavin calculus, a functional analytic approach
• Hypoelliptic second order differential equations
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