Nonlinear Eigenvalues and Analytic-Hypoellipticity

Download or read book Nonlinear Eigenvalues and Analytic-Hypoellipticity written by Ching-Chau Yu and published by American Mathematical Soc.. This book was released on 1998 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the failure of analytic-hypoellipticity of two partial differential operators. The operators are sums of squares of real analytic vector fields and satisfy Hormander's condition. By reducing to an ordinary differential operator, the author shows the existence of non-linear eigenvalues, which is used to disprove analytic- hypoellipticity of the original operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR