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Nonlinear Eigenvalues and Analytic-Hypoellipticity (Memoirs of the American Mathematical Society)
by Ching-Chau Yu
Binding: Paperback, 92 pages
Publisher: American Mathematical Society
Weight: 0.4 pound
Dimension: H: 0.3 x L: 9.7 x W: 6.7 inches
ISBN 10: 0821807846
ISBN 13: 9780821807842
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Book 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.

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