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Author: Peter Li
Publisher: Cambridge University Press
Published: 2012-05-03
Total Pages: 417
ISBN-13: 1107020646
DOWNLOAD EBOOK →This graduate-level text demonstrates the basic techniques for researchers interested in the field of geometric analysis.
Author: Stanislaw Janeczko
Publisher:
Published: 2011
Total Pages: 342
ISBN-13: 9787040331271
DOWNLOAD EBOOK →Author: Ailana Fraser
Publisher: Springer
Published: 2020-08-21
Total Pages: 146
ISBN-13: 9783030537241
DOWNLOAD EBOOK →This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces. An output of the CIME Summer School "Geometric Analysis" held in Cetraro in 2018, it offers a collection of lecture notes prepared by Ailana Fraser (UBC), André Neves (Chicago), Peter M. Topping (Warwick), and Paul C. Yang (Princeton). These notes will be a valuable asset for researchers and advanced graduate students in geometric analysis.
Author: Lizhen Ji
Publisher:
Published: 2008
Total Pages: 704
ISBN-13:
DOWNLOAD EBOOK →"Geometric Analysis combines differential equations with differential geometry. An important aspect of geometric analysis is to approach geometric problems by studying differential equations. Besides some known linear differential operators such as the Laplace operator, many differential equations arising from differential geometry are nonlinear. A particularly important example is the Monge-Amperè equation. Applications to geometric problems have also motivated new methods and techniques in differential equations. The field of geometric analysis is broad and has had many striking applications. This handbook of geometric analysis--the first of the two to be published in the ALM series--presents introductions and survey papers treating important topics in geometric analysis, with their applications to related fields. It can be used as a reference by graduate students and by researchers in related areas."--Back cover.
Author: Pierre Henry-Labordere
Publisher: CRC Press
Published: 2008-09-22
Total Pages: 403
ISBN-13: 1420087002
DOWNLOAD EBOOK →Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th
Author: Stefano Pigola
Publisher: Springer Science & Business Media
Published: 2008-05-28
Total Pages: 282
ISBN-13: 3764386428
DOWNLOAD EBOOK →This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It analyzes in detail an extension of the Bochner technique to the non compact setting, yielding conditions which ensure that solutions of geometrically significant differential equations either are trivial (vanishing results) or give rise to finite dimensional vector spaces (finiteness results). The book develops a range of methods, from spectral theory and qualitative properties of solutions of PDEs, to comparison theorems in Riemannian geometry and potential theory.
Author: Lizhen Ji
Publisher:
Published: 2011
Total Pages: 542
ISBN-13: 9781571462244
DOWNLOAD EBOOK →Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
Published: 2013-04-17
Total Pages: 728
ISBN-13: 9401578427
DOWNLOAD EBOOK →Author: Jingyi Chen
Publisher: Springer Nature
Published: 2020-04-10
Total Pages: 616
ISBN-13: 3030349535
DOWNLOAD EBOOK →This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of the current research in geometric analysis and related PDEs. The book is of significant interest for researchers, including advanced Ph.D. students, working in geometric analysis. Readers who have a secondary interest in geometric analysis will benefit from the survey articles. The results included in this book will stimulate further advances in the subjects: geometric analysis, including complex differential geometry, symplectic geometry, PDEs with a geometric origin, and geometry related to topology. Contributions by Claudio Arezzo, Alberto Della Vedova, Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis, Sun-Yung A. Chang, Zheng-Chao Han, Paul Yang, Tobias Holck Colding, William P. Minicozzi II, Panagiotis Dimakis, Richard Melrose, Akito Futaki, Hajime Ono, Jiyuan Han, Jeff A. Viaclovsky, Bruce Kleiner, John Lott, Sławomir Kołodziej, Ngoc Cuong Nguyen, Chi Li, Yuchen Liu, Chenyang Xu, YanYan Li, Luc Nguyen, Bo Wang, Shiguang Ma, Jie Qing, Xiaonan Ma, Sean Timothy Paul, Kyriakos Sergiou, Tristan Rivière, Yanir A. Rubinstein, Natasa Sesum, Jian Song, Jeffrey Streets, Neil S. Trudinger, Yu Yuan, Weiping Zhang, Xiaohua Zhu and Aleksey Zinger.
