Nonlinear eigenvalues and analytic-hypoellipticity
著者
書誌事項
Nonlinear eigenvalues and analytic-hypoellipticity
（Memoirs of the American Mathematical Society, no. 636）
American Mathematical Society, 1998
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注記
"July 1998, volume 134, number 636 (second of 6 numbers)." -- t.p.
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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