This proceedings volume is a collection of articles from the Pan-American Advanced Studies Institute on partial differential equations, nonlinear analysis and inverse problems held in Santiago (Chile). Interactions among partial differential equations, nonlinear analysis, and inverse problems have produced remarkable developments over the last couple of decades. This volume contains survey articles reflecting the work of leading experts who presented minicourses at the event. Contributors include J. Busca, Y. Capdeboscq, M.S. Vogelius, F. A. Grunbaum, L. F. Matusevich, M. de Hoop, and P. Kuchment. The volume is suitable for graduate students and researchers interested in partial differential equations and their applications in nonlinear analysis and inverse problems.Pan-American Advanced Studies Institute on Partial Differential Equations, Nonlinear Analysis and Inverse Problems, ... For n = 1, the sharp constants L2, 1 are not known for values of y in the interval (1/2, 3/2). ... Consider the SchrApdinger operator, d2 (2.1) H=-E tv defined on L2(R), and let aA1 be the lowest eigenvalue .
|Title||:||Partial Differential Equations and Inverse Problems|
|Publisher||:||American Mathematical Soc. - 2004|