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
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