The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The

The monograph is devoted to the study of initial-boundary-value problems for multi-dimensional Sobolev-type equations over bounded domains. The authors consider

There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasiz

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offer

The theory of nonlinear wave equations in the absence of shocks began in the 1960s. Despite a great deal of recent activity in this area, some major issues rema