Uniform rectifiability and quasiminimizing sets of arbitrary codimension / Guy David, Stephen Semmes.

Format:

Book

Author/Creator:

David, Guy, 1957- author.

Semmes, Stephen, 1962- author.

Series:

Memoirs of the American Mathematical Society ; no. 687.

Memoirs of the American Mathematical Society, 0065-9266 ; number 687

Language:

English

Subjects (All):

Minimal surfaces.

Geometric measure theory.

Fourier analysis.

Physical Description:

1 online resource (146 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2000]

Language Note:

English

Summary:

This book is intended for graduate students and research mathematicians interested in calculus of variations and optimal control; optimization.

Contents:

""Contents""; ""Chapter 0. Introduction""; ""Chapter 1. Quasiminimizers""; ""Chapter 2. Uniform Rect inability and the Main Result""; ""Chapter 3. Lipschitz Projections into Skeleta""; ""Chapter 4. Local Ahlfors-Regularity""; ""Chapter 5. Lipschitz Mappings with Big Images""; ""Chapter 6. From Lipschitz Functions to Projections""; ""Chapter 7. Regular Sets and Cubical Patchworks""; ""Chapter 8. A Stopping-Time Argument""; ""Chapter 9. Proof of Main Lemma 8.7""; ""9.1. A general deformation result""; ""9.2. Application to quasiminimizers""; ""Chapter 10. Big Projections""

""Chapter 11. Restricted and Dyadic Quasiminimizers""""Chapter 12. Applications""; ""12.1. The initial set-up""; ""12.2. Stability of sets""; ""12.3. Topological interpretations""; ""12.4. Polyhedral approximations and minimizers""; ""12.5. General sets""; ""Bibliography""

Notes:

"March 2000, volume 144, number 687 (end of volume)."

Includes bibliographical references (page 131).

Description based on print version record.

ISBN:

1-4704-0278-5