Description:
This volume provides the first comprehensive study of the pullback equation for differential forms. The text recounts various properties of exterior and differential forms, and presents the classical Hodge-Morrey decomposition.
Review Quotes:
From the reviews:
"This monograph provides a systematic study of the pullback equation, presenting results on local and global existence of solutions and regularity. ... It is very likely that this book will become an indispensable reference and source of inspiration for everybody interested in this subject. ... The book starts with an introductory chapter which serves as a user's guide for the rest of the book ... . The book is completed by an index and a list of references consisting of over 100 entries." (Pietro Celada, Mathematical Reviews, April, 2013)
"This book studies the pullback equation for differential forms ... . The principal emphasis of this book is put upon regularity and boundary conditions. Special attention has been paid upon getting optimal regularity, which requires estimates for elliptic equations and fine properties of Hölder spaces. The book will presumably appeal to both geometers and analysts." (Hirokazu Nishimura, Zentralblatt MATH, Vol. 1247, 2012)