This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature

This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif

This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified meth

The notion of an invariant manifold arises naturally in the asymptotic stability analysis of stationary or standing wave solutions of unstable dispersive Hamilt

This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during