Nonlinear Eigenvalues and Analytic-hypoellipticity - Memoirs of the American Mathematical Society (Paperback)Ching-Chau Yu (author)
Paperback 92 Pages / Published: 30/06/1998
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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.
Publisher: American Mathematical Society
Number of pages: 92
Weight: 194 g
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