Hamilton-Jacobi equations and other types of partial differential equa tions of the first order are dealt with in many branches of mathematics, mechanics, and physics. These equations are usually nonlinear, and func tions vital for the considered problems are not smooth enough t…
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques in…
Uniqueness and non-uniqueness in the Cauchy problem
This monograph is devoted to the global existence and the lifespan of classical solutions to the Cauchy problem with small initial data for nonlinear heat equations, nonlinear wave equations and nonlinear Schrodinger equations. The topic has been investigated using a variety of …