Definition of Hypoelliptic. Meaning of Hypoelliptic. Synonyms of Hypoelliptic

- 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...
- 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...
- supervision of Heinz Otto Cordes at the University of California, Berkeley (Hypoelliptic Differential Equations). He held a professorship at the State University...
- 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...
- theorem (section on symbol of operator) Malgrange–Ehrenpreis theorem Hypoelliptic operator Hörmander 1983, p. 151. Schapira 1985, 1.1.7 James G****er (editor)...
- special case of a more general result on the regularity of solutions of hypoelliptic partial differential equations. There are Cauchy–Riemann equations, appropriately...