Differential calculus and equations

This proceedings volume contains 55 research and expository articles on a wide range of currently active and interesting areas in pure and applied mathematics.

This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.

This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order.

This book provides an overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.

The main topics of this book are convergence and topologization.

The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field.

This important book explains how the technique of Witten Laplacians may be useful in statistical mechanics.

The International Conference of Computational Harmonic Analysis, held in Hong Kong during the period of June 4 - 8, 2001, brought together mathematicians and engineers interested in the computational aspects of harmonic analysis.

This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics.

This volume is the record of a workshop on differential equations and the Stokes phenomenon, held in May 2001 at the University of Groningen.

This book is a collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore.

ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China.

This book concerns the mathematical analysis - modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc.

This book contains the papers presented at the ICM2002 Satellite Conference on Nonlinear Evolution Equations and Dynamical Systems.

Infinite-dimensional analysis and quantum probability have undergone significant developments in the last few years and created many applications.

The first International Conference on Inverse Problems was held at the City University of Hong Kong in January 2002.

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces.

This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics.

Technical problems often lead to differential equations with piecewise-smooth right-hand sides.

The Sixth International Workshop on Complex Structures and Vector Fields was a continuation of the previous five workshops (1992, 1994, 1996, 1998, 2000) on similar research projects.

The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation.

During the last twenty years, a large number of books on nonlinear chaotic dynamics in deterministic dynamical systems have appeared.

This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities.

This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory.

The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis.

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures.

This volume consists of a collection of articles from experts with a rich research and educational experience.

This proceedings volume widely surveys new problems, methods and techniques in mathematical physics.

The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem.

This proceedings volume is a collection of papers presented at the International Conference on SPT2004 focusing on symmetry, perturbation theory, and integrability.

This volume collects research papers in quantum probability and related fields and reflects the recent developments in quantum probability ranging from the foundations to its applications.

This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.

This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.

The papers contained in this book address problems in one and several complex variables.

The book is an account on recent advances in elliptic and parabolic problems and related equations, including general quasi-linear equations, variational structures, Bose-Einstein condensate, Chern-Simons model, geometric shell theory and stability in fluids.

The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear.

This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory.

This volume presents the cutting-edge contributions to the Seventh International Workshop on Complex Structures and Vector Fields, which was organized as a continuation of the high successful preceding workshops on similar research.

This authoritative volume comprises the plenary lectures and articles by many of the field's leading researchers who were brought together for the fourth time at the congress of the International Society for Analysis, its Applications and Computation (ISAAC).

This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences.

The relatively new concepts of the Henstock-Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions.

Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics.

This book contains a novel theory of random fields estimation of Wiener type, developed originally by the author and presented here.

This book provides an introduction to propagator theory.

The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis.

Collecting all the results on the particular types of inequalities, the coverage of this book is unique among textbooks in the literature.

The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations.

Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago.

This valuable collection of articles presents the latest methods and results in complex analysis and its applications.