Analytic Hypoellipticity for Generalized Baouendi-Goulaouic Operators

✍ Scribed by N. Hanges; A.A. Himonas

• Book ID: 102592723
• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 442 KB
• Volume: 125
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1994.1126

✦ Synopsis

This work studies the analytic regularity of solutions to certain second-order equations defined by a sum of squares of vector fields. It describes a method for constructing singular solutions to generalized Baouendi-Goulaouic-type operators. This construction is quite explicit and it involves the study of the first eigenvalue and the first eigenfunction of a generalized harmonic oscillator with potential depending on a large parameter. 1994 Academic Press, Inc.