Contemporary Mathematics 2007; 133 pp; softcover Volume: 439 ISBN10: 0821837400 ISBN13: 9780821837405 List Price: US$50 Member Price: US$40 Order Code: CONM/439
 This volume contains research and expository articles based on talks presented at the 2nd Symposium on Analysis and PDEs, held at Purdue University. The Symposium focused on topics related to the theory and applications of nonlinear partial differential equations that are at the forefront of current international research. Papers in this volume provide a comprehensive account of many of the recent developments in the field. The topics featured in this volume include: kinetic formulations of nonlinear PDEs; recent unique continuation results and their applications; concentrations and constrained HamiltonJacobi equations; nonlinear Schrödinger equations; quasiminimal sets for Hausdorff measures; Schrödinger flows into Kähler manifolds; and parabolic obstacle problems with applications to finance. The clear and concise presentation in many articles makes this volume suitable for both researchers and graduate students. Readership Graduate students and research mathematicians interested in partial differential equations. Table of Contents  L. C. Evans  Lectures on kinetic formulations of nonlinear PDE
 C. E. Kenig  Some recent applications of unique continuation
 G. Barles and B. Perthame  Concentrations and constrained HamiltonJacobi equations arising in adaptive dynamics
 J. Colliander, M. Keel, G. Staffilani, H. Takaoka, and T. Tao  The energycritical nonlinear Schrödinger equation in \(\mathbb{R}^3\)
 G. David  Quasiminimal sets for Hausdorff measures
 C. E. Kenig, G. Ponce, and L. Vega  The initial value problem for the general quasilinear Schrödinger equation
 A. Petrosyan and H. Shahgholian  Parabolic obstacle problems applied to finance. A freeboundaryregularity approach
