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 ...
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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.
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Add this copy of Nonlinear Eigenvalues and Analytic-Hypoellipticity.; to cart. $9.00, like new condition, Sold by J. Hood, Booksellers, Inc. rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 1998 by AMS.
Add this copy of Nonlinear Eigenvalues and Analytic-Hypoellipticity to cart. $39.78, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1998 by Amer Mathematical Society.
