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Nonlinear Eigenvalues and Analytic-Hypoellipticity.

Yu, Ching-Chau.

Nonlinear Eigenvalues and Analytic-Hypoellipticity. - 1st ed. - 1 online resource (106 pages) - Memoirs of the American Mathematical Society ; v.134 . - Memoirs of the American Mathematical Society .

Intro -- Contents -- Chapter 1. Statement of the Problems and Results -- 1. Introduction -- 2. The first problem -- 3. The second problem -- Chapter 2. Sums of Squares of Vector Fields on R[sup(3)] -- 1. An auxiliary ODE and the parabolic cylinder equation -- 2. Asymptotics of solutions -- 3. Monotonicity and integrability conditions -- 4. Existence and the proofs of asymptotics of solutions -- 5. Asymptotic matching and the proof of theorem 1 -- Chapter 3. Sums of Squares of Vector Fields on R[sup(5)] -- 1. Some remarks regarding Qδ -- 2. An auxiliary ODE and Airy's equation -- 3. Asymptotics of a solution near ∞ -- 4. Asymptotics of solutions near 0 -- 5. Asymptotic matching -- Bibliography.

9781470402259


Partial differential operators.
Eigenvalues.
Differential equations, Hypoelliptic.
Asymptotic expansions.


Electronic books.

QA329.42 -- .Y8 1998eb

510 s;515/.7242

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