# Nonlinear Eigenvalues and Analytic-hypoellipticity (Memoirs of the American Mathematical Society)

By: Ching-Chau Yu (author)Paperback

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### Description

This work studies the failure of analytic-hypoellipticity (AH) of two partial differential operators. The operators studied are sums of squares of real analytic vector fields and satisfy Hormander's condition; a condition on the rank of the Lie algebra generated by the brackets of the vector fields. These operators are necessarily $C^\infty$-hypoelliptic. By reducing to an ordinary differential operator, the author shows the existence of nonlinear eigenvalues, which is used to disprove analytic-hypoellipticity of the original operators.

### Contents

Statement of the problems and results Sums of squares of vector fields on $\mathbb R^3$ Sums of squares of vector fields on $\mathbb R^5$ Bibliography.

### Product Details

• ISBN13: 9780821807842
• Format: Paperback
• Number Of Pages: 92
• ID: 9780821807842
• ISBN10: 0821807846

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