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This volume contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the recent work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions. Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on the topic. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
The 11 papers discuss analysis, partial differential equations, applied mathematics, and scientific computing, focusing on the work of Peter Lax and Louis Nirenberg, whose 70th birthdays occasioned the conference. Specific topics include viscosity solutions for the porous medium equation, holomorphic curves in contact dynamics, and minimizing volume among Lagrangian submanifolds. No index. Member prices are $31 for institutions and $23 or individuals. Annotation copyrighted by Book News, Inc., Portland, OR.
There is an uncanny resemblance between Christianity in the middle ages and Physics in the twenty-first century. Formerly, the common man could neither read nor understand the scriptures, as they were written in Latin; the clergy had to interpret the scriptures for the laity with predictable results. Physics in the twenty-first century is similar. Only mathematicians with doctoral degree can understand the universe and how it works, to the rest of mankind the universe is an area of darkness. This is not by any means a desirable development. As human beings, we are all sentient individuals and as such are expected to enquire about our environment, the world around us, and the universe we live...