Nonlinear Eigenvalues and Analytic-Hypoellipticity

· American Mathematical Society: Memoirs of the American Mathematical Society 636-kitob · American Mathematical Soc.
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Reytinglar va sharhlar tasdiqlanmagan  Batafsil

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Explores the failure of analytic-hypoellipticity of two partial differential operators. The operators are sums of squares of real analytic vector fields and satisfy Hormander's condition. By reducing to an ordinary differential operator, the author shows the existence of non-linear eigenvalues, which is used to disprove analytic- hypoellipticity of the original operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR

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