Recent developments in nonlinear partial differential equations: the Second symposium on analysis and PDEs, june 7-10, 2004, Purdue University, West Lafayette, Indiana / ed. by Danielli D. - Providence: American Mathematical Society, 2007. - viii, 133 p.: ill. - (Contemporary mathematics; 439). - ISBN 978-0-8218-3740-5; ISSN 0271-4132  Место хранения:   03 | Центральная библиотека Иркутского научного центра СО РАН | Иркутск

Contents

Preface ....................................................... vii Lectures on Kinetic Formulations of Nonlinear PDE L.C. Evans ................................................... 1 Some Recent Applications of Unique Continuation С.Е. Kenig .................................................. 25 Concentrations and constrained Hamilton-Jacobi equations arising in adaptive dynamics G. Barles, and B. Perthame .................................. 57 The energy-critical nonlinear Schrödinger equation in 3 J. Colliander, M. Keel, G. Staffilani, H. Takaoka, and Т. Тao .................................................. 69 Quasiminimal sets for Hausdorff measures G. David .................................................... 81 The Initial Value Problem for the General Quasi-Linear Schrödinger Equation С.Е. Kenig, G. Ponce, and L. Vega .......................... 101 Parabolic obstacle problems applied to finance. A free- boundary-regularity approach A. Petrosyan, and H. Shahgholian ........................... 117