4 edition of **The analysis of harmonic maps and their heat flows** found in the catalog.

The analysis of harmonic maps and their heat flows

Fanghua Lin

- 172 Want to read
- 12 Currently reading

Published
**2008**
by World Scientific in Singapore, Hackensack, NJ
.

Written in English

- Harmonic maps -- Textbooks.,
- Heat equation -- Textbooks.,
- Riemannian manifolds -- Textbooks.

**Edition Notes**

Includes bibliographical references (p. 251-264) and index.

Statement | Fanghua Lin, Changyou Wang. |

Genre | Textbooks. |

Contributions | Wang, Changyou, 1967- |

Classifications | |
---|---|

LC Classifications | QA614.73 .L56 2008 |

The Physical Object | |

Pagination | xi, 267 p. ; |

Number of Pages | 267 |

ID Numbers | |

Open Library | OL22680332M |

ISBN 10 | 9812779523 |

ISBN 10 | 9789812779526 |

LC Control Number | 2008300549 |

Analysis of Harmonic Maps and their Heat Flows by Fanghua Lin Applications of Symmetry Methods to Partial Differential Equations () by G. W. Bluman Applied and Numerical Partial Differential Equations () by W. Fitzgibbon. Another harmonic analysis book that is easy to understand and has great chapters on probability and wavelets is Pinsky, Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics). For the Gelfand theory of Banach algebras, my Cited by:

Manual of harmonic analysis and prediction of tides. This book was designed primarily as a working manual for use in the United States Coast and Geodetic Survey and describes the procedure used in this office for the harmonic analysis and prediction of tides and tidal currents. Author(s): Paul Schureman. A HANDBOOK OF HARMONIC ANALYSIS YOSHIHIRO SAWANO Contents Preface 10 Acknowledgement 10 Orientation of this book 10 Notations in this book 13 Part 1. A bird’s-eye-view of this book 16 1. Introduction 16 Maximal operator on ∂D 16 Conjugate functions on ∂D 22 Alternate version of L1(∂D)-boundedness and Calder´on-Zygmund File Size: 2MB.

The proof of theorem in is very delicate, which is based on suitable extensions of the blow-up analysis scheme that has been developed in the context of harmonic maps by Lin and harmonic map heat flows by Lin & Wang [91–93]. A crucial ingredient is the following compactness by: ANALYSIS AND GEOMETRY Volume 3, Number 2, , On Singularities of the Heat Flow for Harmonic maps from Surfaces into Spheres JlE QlNG In this paper we prove that there is no unaccounted energy loss for blow-ups of solutions of the heat equation for harmonic maps from surfaces into spheres. Any energy drop corresponds precisely toCited by:

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This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen–Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and.

This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic.

"This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis."--Jacket.

The analysis of harmonic maps and their heat flows. / Lin, Fang-Hua; Wang, Changyou. Singapore, SG: World Scientific, p. Research output: Book/Report › BookCited by: Get this from a library.

The analysis of harmonic maps and their heat flows. [Fanghua Lin; Changyou Wang] -- This book contains the proceedings of the Fourth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on AugustThe Meeting focused on experimental tests of.

Dirichlet principle of harmonic maps. Intrinsic view of harmonic maps. Extrinsic view of harmonic maps. A few facts about harmonic maps. Bochner identity for harmonic maps. Second variational formula of harmonic maps. Analysis Of Harmonic Maps And Their Heat Flows, The by Fanghua Lin,available at Book Depository with free delivery worldwide.

The Analysis Of Harmonic Maps And Their Heat Flows, by Fanghua Lin (Author) › Visit Amazon's Fanghua Lin Page. Find all the books, read about the author, and more. See search results for this author. Are you an author. Learn about Author Central. Fanghua Lin (Author Manufacturer: Fanghua Lin.

The Analysis Of Harmonic Maps And Their Heat Flows, by Fanghua Lin Free PDF d0wnl0ad, audio books, books to read, good books to read, cheap books, good books, online books, books online, book reviews epub. A (smooth) map:M→N between Riemannian manifolds M and N is called harmonic if it is a critical point of the Dirichlet energy functional = ∫ ‖ ‖.This functional E will be defined precisely below—one way of understanding it is to imagine that M is made of rubber and N made of marble (their shapes given by their respective metrics), and that the map:M→N prescribes how one.

For the Fall ofthe seminar will be focusing primarily on harmonic maps and their heat flows. The seminar meets on Mondays, from pm in Math Below, we use 'L-W' to refer to the book The Analysis of Harmonic Maps and Their Heat Flows. Motivated by emerging applications from imaging processing, this paper studies the heat flow of a generalized p-harmonic map into spheres for the whole spectrum, $1\leq pCited by: 7.

This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on.

This includes Hermitian harmonic maps (Jost and Yau, Acta Math –, ), Weyl harmonic maps (Kokarev, Proc Lond Math Soc –. In this paper we construct weak solutions for the heat flow associated with relaxed energies for harmonic maps between B3 and S2. Nonuniqueness results for such solutions are also given.

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 7) Blow-up and global existence for heat Cited by: Lin and Wang’s book ‘Harmonic Maps and Their Heat Flows‘, [6]. The organisation of the report is as follows: Section 1 provides a brief overview of necessary prerequisites from di erential geometry and Section 2 introduces the Dirichlet integral for maps between manifolds Mand Nand de nes harmonic maps as the critical points of this.

The Analysis of Harmonic Maps and Their Heat Flows. Author Fanghua Lin, Changyou Wang. Edition First. Publisher World Scientific Publishing and Imperial College Press. Pages Price £ ISBN The Analysis of Harmonic Maps and Their Heat Flows provides an introduction to the analysis of harmonic maps and their heat flows.

Harmonic quasi-isometric maps between rank one symmetric spaces Pages from Volume [LinWang08] F. Lin and C. Wang, The Analysis of Harmonic Maps and their Heat Flows, Hackensack, NJ: World Scientific Publishing Co.

Pte. Ltd., Show bibtex {The Analysis of Harmonic Maps and their Heat Flows}, year = {},Cited by: 4. Two very good introductions to the subject are: 1) Harmonic maps, conservation laws, and moving frames by Frédéric Hélein.

2) Analysis Of Harmonic Maps And Their Heat Flows by Changyou Wang, Fanghua Lin. We study energy minimizing harmonic maps into a complete Riemannian manifold. We prove that the singular set of such a map has Hausdorff dimension at most n-2, where n is the dimension of the domain.

We will also give an example of an energy minimizing map from a surface to a surface that has a singular : Ming Li. Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e.

an extended form of Fourier analysis).In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory.ARONIC MAPS AND THEIR HEAT FLOWS This page intentionally left blank H THE ANALYSIS OF ARONIC MAPS AND THEIR HEAT FLOWS Fanghua Lin New York University, USA Changyou Wang University of Kentucky, USA World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TA I P E I • CHENNAI.In a sense, Harmonic Analysis subsumes both his Fourier Analysis and Singular Integrals books, but I believe it assumes a lot of basic information on Fourier Analysis that his earlier book covers.

Another great and very modern book would be Wolff's Lecture Notes on Harmonic Analysis (available for free online btw).