Emerging Concepts in Evolution Equations

This book reviews new research and analyses emerging concepts in evolution equations. Chapter One discusses the evolution equation of Lie-type for finite deformations, and its time-discrete integration. Chapter Two presents a review of recent results on group analysis of nonlinear evolution equations in one spatial variable. Chapter Three addresses the problem of exponential stabilisation of a class of 1-D PDEs with Dirichlet boundary control.

Preface; The Evolution Equation of Lie-Type for Finite Deformations & Its Time-Discrete Integration; New Applications of Symmetry Analysis to Non-linear Evolution Equations; A Method for Exponentially Stabilizing a Class of 1-D PDEs; Index.