A general introduction to the initial value problem for Einstein's equations coupled to collisionless matter. The book contains a proof of future stability of models of the universe consistent with the current observational data and a discussion of the restrictions on the possib…
This book is dedicated to two problems. The first concerns the description of maximal exponential growth of functions or distributions for which the Cauchy problem is well posed. The description is presented in the language of the behavior of the symbol in a complex domain. The …
Abstract theorems of existence, uniqueness and regularity of the solution are proved for a differential equation whose solution takes its values in a sequence of Banach spaces called a Banach scale. The abstract theorems are then applied to obtain existence, uniqueness and regul…
