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subset U ⊂ R n {\displaystyle U\subset {\mathbb {R} }^{n}} is called hypoelliptic if for every distribution u {\displaystyle u} defined on an open subset...

not smooth solutions. Weyl's lemma is a special case of elliptic or hypoelliptic regularity. Let Ω {\displaystyle \Omega } be an open subset of n {\displaystyle...

operator exhibiting this property is called a hypoelliptic operator; thus, every elliptic operator is hypoelliptic. The property also means that every fundamental...

within Ω {\displaystyle \Omega } . Elliptic partial differential equation Hypoelliptic operator Parabolic partial differential equation Rozhdestvenskii, B.L...

supervision of Heinz Otto Cordes at the University of California, Berkeley (Hypoelliptic Differential Equations). He held a professorship at the State University...

natural construction of a Hodge theory whose corresponding Laplacian is a hypoelliptic operator acting on the total space of the cotangent bundle of a Riemannian...

scientific papers are dedicated to differential equations, elliptic and hypoelliptic equations, the study of the properties of functions in different multianisotropic...

transformation Weyl–Schouten theorem Weyl's criterion Weyl's lemma on hypoellipticity Weyl's lemma on the "very weak" form of the Laplace equation Newman...

special case of a more general result on the regularity of solutions of hypoelliptic partial differential equations. There are Cauchy–Riemann equations, appropriately...

Mathematical Notes. Vol. 19. Princeton Univ. Press. Hörmander, Lars (1967). "Hypoelliptic second-order differential equations". Acta Math. 119: 147–171. doi:10...

criterion for equidistribution (Weyl's criterion) Weyl's lemma on the hypoellipticity of the Laplace equation results estimating Weyl sums in the theory...

ISBN 0-486-44994-7. MR2250060 (See the introduction) Hörmander, Lars (1967). "Hypoelliptic second order differential equations". Acta Math. 119: 147–171. doi:10...

1973–1974 Malliavin, Paul (1978). "Stochastic calculus of variations and hypoelliptic operators". Proceedings of the International Symposium on Stochastic...

lemma on the "very weak" form of the Laplace equation Weyl's lemma on hypoellipticity Weyl's paradox (properly the Grelling–Nelson paradox) Weyl's postulate...

geometric analysis, infinite-dimensional analysis, and ergodicity of hypoelliptic diffusions". Baudoin, Fabrice; Feng, Qi; Gordina, Maria Integration by...

the study of elliptic differential operators and, more generally, of hypoelliptic pseudodifferential operators with variable coefficient, since for such...

and statistical mechanics, World Scientific 2002 with Francis Nier: Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten...

Paulo D.; Hanges, Nicholas (2009). "Hyperfunctions and (analytic) hypoellipticity". Mathematische Annalen. 344 (2): 329–339. doi:10.1007/s00208-008-0308-2...

1.3) Malliavin, Paul (1978). "Stochastic calculus of variations and hypoelliptic operators". Proceedings of the International Symposium on Stochastic...

K-correspondences and intrinsic pseudovolume forms Jean-Michel Bismut, The Hypoelliptic Laplacian on the Cotangent Bundle Yasha Eliashberg, Positive Loops of...