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Author : Leon Simon
Publisher :
ISBN 13 : 9780867844290
Total Pages : 286 pages
Book Rating : 4.8/5 (442 download)
Download or read book Lectures on Geometric Measure Theory written by Leon Simon and published by . This book was released on 1984 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pertti Mattila
Publisher :
ISBN 13 : 9788460044369
Total Pages : 122 pages
Book Rating : 4.0/5 (443 download)
Download or read book Lecture Notes on Geometric Measure Theory written by Pertti Mattila and published by . This book was released on 1986 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Bombieri
Publisher : Springer Science & Business Media
ISBN 13 : 3642109705
Total Pages : 227 pages
Book Rating : 4.6/5 (421 download)
Download or read book Geometric Measure Theory and Minimal Surfaces written by E. Bombieri and published by Springer Science & Business Media. This book was released on 2011-06-04 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational inequalities.- M. MIRANDA: Boundaries of Caciopoli sets in the calculus of variations.- L. PICCININI: De Giorgi’s measure and thin obstacles.
Author : Enrico Bombieri
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (534 download)
Download or read book Lectures on Geometric Measure Theory written by Enrico Bombieri and published by . This book was released on 1968 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guido De Philippis
Publisher : Springer Nature
ISBN 13 : 303065799X
Total Pages : 138 pages
Book Rating : 4.0/5 (36 download)
Download or read book Geometric Measure Theory and Free Boundary Problems written by Guido De Philippis and published by Springer Nature. This book was released on 2021-03-23 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school “Geometric Measure Theory and Applications – From Geometric Analysis to Free Boundary Problems” which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. Providing a description of the structure of measures satisfying certain differential constraints, and covering regularity theory for Bernoulli type free boundary problems and water waves as well as regularity theory for the obstacle problems and the developments leading to applications to the Stefan problem, this volume will be of interest to students and researchers in mathematical analysis and its applications.
Author : Robert Hardt
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (295 download)
Download or read book Geometric Measure Theory written by Robert Hardt and published by . This book was released on 1983* with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alessio Figalli
Publisher : Springer
ISBN 13 : 3319740423
Total Pages : 224 pages
Book Rating : 4.3/5 (197 download)
Download or read book Partial Differential Equations and Geometric Measure Theory written by Alessio Figalli and published by Springer. This book was released on 2018-05-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational methods. The problems addressed are challenging and complex, and often require the use of several refined techniques to overcome the major difficulties encountered. The lectures, given during the course "Partial Differential Equations and Geometric Measure Theory'' in Cetraro, June 2–7, 2014, should help to encourage further research in the area. The enthusiasm of the speakers and the participants of this CIME course is reflected in the text.
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646795
Total Pages : 344 pages
Book Rating : 4.8/5 (176 download)
Download or read book Geometric Integration Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
Author : Harold Widom
Publisher : Courier Dover Publications
ISBN 13 : 0486810283
Total Pages : 177 pages
Book Rating : 4.4/5 (868 download)
Download or read book Lectures on Measure and Integration written by Harold Widom and published by Courier Dover Publications. This book was released on 2016-11-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: These well-known and concise lecture notes present the fundamentals of the Lebesgue theory of integration and an introduction to some of the theory's applications. Suitable for advanced undergraduates and graduate students of mathematics, the treatment also covers topics of interest to practicing analysts. Author Harold Widom emphasizes the construction and properties of measures in general and Lebesgue measure in particular as well as the definition of the integral and its main properties. The notes contain chapters on the Lebesgue spaces and their duals, differentiation of measures in Euclidean space, and the application of integration theory to Fourier series.
Author : Terence Tao
Publisher : American Mathematical Soc.
ISBN 13 : 1470466406
Total Pages : 206 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Introduction to Measure Theory written by Terence Tao and published by American Mathematical Soc.. This book was released on 2021-09-03 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis. The text focuses first on the concrete setting of Lebesgue measure and the Lebesgue integral (which in turn is motivated by the more classical concepts of Jordan measure and the Riemann integral), before moving on to abstract measure and integration theory, including the standard convergence theorems, Fubini's theorem, and the Carathéodory extension theorem. Classical differentiation theorems, such as the Lebesgue and Rademacher differentiation theorems, are also covered, as are connections with probability theory. The material is intended to cover a quarter or semester's worth of material for a first graduate course in real analysis. There is an emphasis in the text on tying together the abstract and the concrete sides of the subject, using the latter to illustrate and motivate the former. The central role of key principles (such as Littlewood's three principles) as providing guiding intuition to the subject is also emphasized. There are a large number of exercises throughout that develop key aspects of the theory, and are thus an integral component of the text. As a supplementary section, a discussion of general problem-solving strategies in analysis is also given. The last three sections discuss optional topics related to the main matter of the book.
Author : R. Hardt
Publisher :
ISBN 13 :
Total Pages : 117 pages
Book Rating : 4.:/5 (471 download)
Download or read book Seminar on geometric measure theory written by R. Hardt and published by . This book was released on 1986 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Ambrosio
Publisher : Springer
ISBN 13 : 8876425233
Total Pages : 236 pages
Book Rating : 4.8/5 (764 download)
Download or read book Geometric Measure Theory and Real Analysis written by Luigi Ambrosio and published by Springer. This book was released on 2015-04-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2013, a school on Geometric Measure Theory and Real Analysis, organized by G. Alberti, C. De Lellis and myself, took place at the Centro De Giorgi in Pisa, with lectures by V. Bogachev, R. Monti, E. Spadaro and D. Vittone. The book collects the notes of the courses. The courses provide a deep and up to date insight on challenging mathematical problems and their recent developments: infinite-dimensional analysis, minimal surfaces and isoperimetric problems in the Heisenberg group, regularity of sub-Riemannian geodesics and the regularity theory of minimal currents in any dimension and codimension.
Author : William K. Allard
Publisher : American Mathematical Soc.
ISBN 13 : 0821814702
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Measure Theory and the Calculus of Variations written by William K. Allard and published by American Mathematical Soc.. This book was released on 1986 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.
Author : Frank Morgan
Publisher : Elsevier
ISBN 13 : 0080525601
Total Pages : 239 pages
Book Rating : 4.0/5 (85 download)
Download or read book Geometric Measure Theory written by Frank Morgan and published by Elsevier. This book was released on 2000-08-22 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications. The third edition of this leading text/reference introduces the theory, the framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Over the past thirty years, this theory has contributed to major advances in geometry and analysis including, for example, the original proof of the positive mass conjecture in cosmology.This third edition of Geometric Measure Theory: A Beginner's Guide presents, for the first time in print, the proofs of the double bubble and the hexagonal honeycomb conjectures. Four new chapters lead the reader through treatments of the Weaire-Phelan counterexample of Kelvin's conjecture, Almgren's optimal isoperimetric inequality, and immiscible fluids and crystals. The abundant illustrations, examples, exercises, and solutions in this book will enhance its reputation as the most accessible introduction to the subject.
Author : Camillo De Lellis
Publisher : European Mathematical Society
ISBN 13 : 9783037190449
Total Pages : 140 pages
Book Rating : 4.1/5 (94 download)
Download or read book Rectifiable Sets, Densities and Tangent Measures written by Camillo De Lellis and published by European Mathematical Society. This book was released on 2008 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The characterization of rectifiable sets through the existence of densities is a pearl of geometric measure theory. The difficult proof, due to Preiss, relies on many beautiful and deep ideas and novel techniques. Some of them have already proven useful in other contexts, whereas others have not yet been exploited. These notes give a simple and short presentation of the former and provide some perspective of the latter. This text emerged from a course on rectifiability given at the University of Zurich. It is addressed both to researchers and students; the only prerequisite is a solid knowledge in standard measure theory. The first four chapters give an introduction to rectifiable sets and measures in Euclidean spaces, covering classical topics such as the area formula, the theorem of Marstrand and the most elementary rectifiability criterions. The fifth chapter is dedicated to a subtle rectifiability criterion due to Marstrand and generalized by Mattila, and the last three focus on Preiss' result. The aim is to provide a self-contained reference for anyone interested in an overview of this fascinating topic.
Author : Nicola Gigli
Publisher : Springer Nature
ISBN 13 : 3030386139
Total Pages : 212 pages
Book Rating : 4.0/5 (33 download)
Download or read book Lectures on Nonsmooth Differential Geometry written by Nicola Gigli and published by Springer Nature. This book was released on 2020-02-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. Examples of the main topics covered include notions of Sobolev space on abstract metric measure spaces; normed modules, which constitute a convenient technical tool for the introduction of a robust differential structure in the nonsmooth setting; first-order differential operators and the corresponding functional spaces; the theory of heat flow and its regularizing properties, within the general framework of “infinitesimally Hilbertian” metric measure spaces; the RCD condition and its effects on the behavior of heat flow; and second-order calculus on RCD spaces. The book is mainly intended for young researchers seeking a comprehensive and fairly self-contained introduction to this active research field. The only prerequisites are a basic knowledge of functional analysis, measure theory, and Riemannian geometry.
Author : R. Hardt
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (44 download)
Download or read book Seminar on Geometric Measure Theory written by R. Hardt and published by Birkhäuser. This book was released on 1986 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
