Sets Of Finite Perimeter And Geometric Variational Problems

Author : Francesco Maggi
Publisher :
ISBN 13 : 9781139549738
Total Pages : 475 pages
Book Rating : 4.31/5 ( download)

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Download or read book Sets of Finite Perimeter and Geometric Variational Problems written by Francesco Maggi and published by . This book was released on 2014-05-14 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.

Author : Francesco Maggi
Publisher : Cambridge University Press
ISBN 13 : 1139560891
Total Pages : 475 pages
Book Rating : 4.94/5 ( download)

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Download or read book Sets of Finite Perimeter and Geometric Variational Problems written by Francesco Maggi and published by Cambridge University Press. This book was released on 2012-08-09 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of area-minimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduate-level textbook suitable for self-study and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory.

Author : Leon Simon
Publisher :
ISBN 13 : 9780867844290
Total Pages : 286 pages
Book Rating : 4.99/5 ( download)

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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 : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646795
Total Pages : 340 pages
Book Rating : 4.90/5 ( download)

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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 340 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 : Andrea Braides
Publisher : Springer Nature
ISBN 13 : 303069917X
Total Pages : 134 pages
Book Rating : 4.78/5 ( download)

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Download or read book Geometric Flows on Planar Lattices written by Andrea Braides and published by Springer Nature. This book was released on 2021-03-23 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.

Author : Washek F. Pfeffer
Publisher : CRC Press
ISBN 13 : 1466507217
Total Pages : 259 pages
Book Rating : 4.10/5 ( download)

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Download or read book The Divergence Theorem and Sets of Finite Perimeter written by Washek F. Pfeffer and published by CRC Press. This book was released on 2016-02-03 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a detailed development of the divergence theorem. The framework is that of Lebesgue integration- no generalized Riemann integrals of Henstock-Kurzweil variety are involved.In Part I the divergence theorem is established by a combinatorial argument involving dyadic cubes. Only elementary properties of the Lebesgue integral an

Author : Abderrahim Elmoataz
Publisher : Springer Nature
ISBN 13 : 3030755495
Total Pages : 584 pages
Book Rating : 4.92/5 ( download)

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Download or read book Scale Space and Variational Methods in Computer Vision written by Abderrahim Elmoataz and published by Springer Nature. This book was released on 2021-04-29 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021, which took place during May 16-20, 2021. The conference was planned to take place in Cabourg, France, but changed to an online format due to the COVID-19 pandemic. The 45 papers included in this volume were carefully reviewed and selected from a total of 64 submissions. They were organized in topical sections named as follows: scale space and partial differential equations methods; flow, motion and registration; optimization theory and methods in imaging; machine learning in imaging; segmentation and labelling; restoration, reconstruction and interpolation; and inverse problems in imaging.

Author : Velimir Jurdjevic
Publisher : Cambridge University Press
ISBN 13 : 1316586332
Total Pages : 437 pages
Book Rating : 4.34/5 ( download)

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Download or read book Optimal Control and Geometry: Integrable Systems written by Velimir Jurdjevic and published by Cambridge University Press. This book was released on 2016-07-04 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control.

Author : Dorina Mitrea
Publisher : Springer Nature
ISBN 13 : 3031059506
Total Pages : 940 pages
Book Rating : 4.06/5 ( download)

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Download or read book Geometric Harmonic Analysis I written by Dorina Mitrea and published by Springer Nature. This book was released on 2022-11-04 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.

Author : Robin Pemantle
Publisher : Cambridge University Press
ISBN 13 : 1107031575
Total Pages : 395 pages
Book Rating : 4.79/5 ( download)

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Download or read book Analytic Combinatorics in Several Variables written by Robin Pemantle and published by Cambridge University Press. This book was released on 2013-05-31 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.