Click Here to Download: https://ouo.io/ysDbyDD An Introduction to Pseudo-Differential Operators By: M W Wong Publisher: WSPC Print ISBN: 9789814583084, 9814583081 eText ISBN: 9789814583107, 9814583103 Edition: 3rd Pages: 196 Format: EPUB Available from $ 15.00 USD SKU 9789814583107 The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn). The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators. It is an ideal introduction for graduate students in mathematics and mathematicians who aspire to do research in pseudo-differential operators and related topics. Contents: Introduction, Notation and Preliminaries Differentiation of Integrals Depending on Parameters The Convolution The Fourier Transform Tempered Distributions Symbols, Pseudo-Differential Operators and Asymptotic Expansions A Partition of Unity and Taylor's Formula The Product of Two Pseudo-Differential Operators The Formal Adjoint of a Pseudo-Differential Operator The Parametrix of an Elliptic Pseudo-Differential Operator Lp-Boundedness of Pseudo-Differential Operators The Sobolev Spaces Hs,p, -∞Closed Linear Operators Minimal and Maximal Pseudo-Differential Operators Global Regularity of Elliptic Partial Differential Equations Weak Solutions of Pseudo-Differential Equations Graduate students and researchers in the fields of analysis and differential equations.
