TY - BOOK AU - Yu,Ching-Chau AU - Ching-Chau,Yu TI - Nonlinear Eigenvalues and Analytic-Hypoellipticity T2 - Memoirs of the American Mathematical Society SN - 9781470402259 AV - QA329.42 -- .Y8 1998eb U1 - 510 s;515/.7242 PY - 1998/// CY - Providence PB - American Mathematical Society KW - Partial differential operators KW - Eigenvalues KW - Differential equations, Hypoelliptic KW - Asymptotic expansions KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114366 ER -