Blow-up Theory for Elliptic PDEs in Riemannian Geometry

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Author :
Publisher : Princeton University Press
ISBN 13 : 1400826160
Total Pages : 227 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Blow-up Theory for Elliptic PDEs in Riemannian Geometry by : Olivier Druet

Download or read book Blow-up Theory for Elliptic PDEs in Riemannian Geometry written by Olivier Druet and published by Princeton University Press. This book was released on 2009-01-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrödinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev space consisting of square integrable functions whose gradient is also square integrable. This splitting is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and methods that lead to sharp pointwise estimates. These estimates have important applications when dealing with sharp constant problems (a case where the energy is minimal) and compactness results (a case where the energy is arbitrarily large). The authors carefully and thoroughly describe pointwise behavior when the energy is arbitrary. Intended to be as self-contained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields.

Variational Problems in Riemannian Geometry

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034879687
Total Pages : 158 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Variational Problems in Riemannian Geometry by : Paul Baird

Download or read book Variational Problems in Riemannian Geometry written by Paul Baird and published by Birkhäuser. This book was released on 2012-12-06 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.

Concentration Analysis and Applications to PDE

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Publisher : Springer Science & Business Media
ISBN 13 : 3034803737
Total Pages : 162 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Concentration Analysis and Applications to PDE by : Adimurthi

Download or read book Concentration Analysis and Applications to PDE written by Adimurthi and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. This book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings.

Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849573
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS by : Pierpaolo Esposito

Download or read book Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS written by Pierpaolo Esposito and published by American Mathematical Soc.. This book was released on 2010 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Micro- and nanoelectromechanical systems (MEMS and NEMS), which combine electronics with miniature-size mechanical devices, are essential components of modern technology. This title offers an introduction to many methods of nonlinear analysis and PDEs through the analysis of a set of equations that have enormous practical significance.

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821836358
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Noncompact Problems at the Intersection of Geometry, Analysis, and Topology by : Abbas Bahri

Download or read book Noncompact Problems at the Intersection of Geometry, Analysis, and Topology written by Abbas Bahri and published by American Mathematical Soc.. This book was released on 2004 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.

Selfdual Gauge Field Vortices

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646086
Total Pages : 335 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Selfdual Gauge Field Vortices by : Gabriella Tarantello

Download or read book Selfdual Gauge Field Vortices written by Gabriella Tarantello and published by Springer Science & Business Media. This book was released on 2008-04-16 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs theories (in both abelian and non-abelian settings). Thereafter, the Electroweak theory and self-gravitating Electroweak strings are examined. The final chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vortices.

Nonlinear Differential Equations and Applications

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Publisher : Springer Nature
ISBN 13 : 3031537408
Total Pages : 339 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Nonlinear Differential Equations and Applications by : Hugo Beirão da Veiga

Download or read book Nonlinear Differential Equations and Applications written by Hugo Beirão da Veiga and published by Springer Nature. This book was released on with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concentration Compactness

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110532433
Total Pages : 227 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Concentration Compactness by : Cyril Tintarev

Download or read book Concentration Compactness written by Cyril Tintarev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-02-10 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem. This monograph presents a systematic functional-analytic presentation of concentration mechanisms and is by far the most extensive and systematic collection of mathematical tools for analyzing the convergence of functional sequences via the mechanism of concentration.

Handbook of Global Analysis

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Publisher : Elsevier
ISBN 13 : 0080556736
Total Pages : 1243 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Global Analysis by : Demeter Krupka

Download or read book Handbook of Global Analysis written by Demeter Krupka and published by Elsevier. This book was released on 2011-08-11 with total page 1243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents

Information Processing in Medical Imaging

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Publisher : Springer
ISBN 13 : 354073273X
Total Pages : 794 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Information Processing in Medical Imaging by : Nico Karssemeijer

Download or read book Information Processing in Medical Imaging written by Nico Karssemeijer and published by Springer. This book was released on 2007-07-14 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 20th International Conference on Information Processing in Medical Imaging, IPMI 2007, held in Kerkrade, The Netherlands, in July 2007. It covers segmentation, cardiovascular imaging, detection and labeling, diffusion tensor imaging, registration, image reconstruction, functional brain imaging, as well as shape models and registration.

Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow

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Publisher : American Mathematical Society
ISBN 13 : 147046876X
Total Pages : 160 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow by : Maxwell Stolarski

Download or read book Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow written by Maxwell Stolarski and published by American Mathematical Society. This book was released on 2024-04-17 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation

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Author :
Publisher : American Mathematical Society
ISBN 13 : 1470459930
Total Pages : 254 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai

Download or read book Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation written by Mohandas Pillai and published by American Mathematical Society. This book was released on 2023-04-07 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability

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Author :
Publisher : American Mathematical Society
ISBN 13 : 147046120X
Total Pages : 140 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability by : Kihyun Kim

Download or read book On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability written by Kihyun Kim and published by American Mathematical Society. This book was released on 2023-04-07 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Advances in Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advances in Differential Equations by :

Download or read book Advances in Differential Equations written by and published by . This book was released on 2007 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity

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Publisher : American Mathematical Society
ISBN 13 : 1470461196
Total Pages : 138 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity by : Nassif Ghoussoub

Download or read book Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity written by Nassif Ghoussoub and published by American Mathematical Society. This book was released on 2023-05-23 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Developments in Lorentzian Geometry

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Publisher : Springer Nature
ISBN 13 : 3031053796
Total Pages : 323 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Developments in Lorentzian Geometry by : Alma L. Albujer

Download or read book Developments in Lorentzian Geometry written by Alma L. Albujer and published by Springer Nature. This book was released on 2022-10-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Córdoba, Spain, on February 1-5, 2021. It includes surveys describing the state-of-the-art in specific areas, and a selection of the most relevant results presented at the conference. Taken together, the papers offer an invaluable introduction to key topics discussed at the conference and an overview of the main techniques in use today. This volume also gathers extended revisions of key studies in this field. Bringing new results and examples, these unique contributions offer new perspectives to the original problems and, in most cases, extend and reinforce the robustness of previous findings. Hosted every two years since 2001, the International Meeting on Lorentzian Geometry has become one of the main events bringing together the leading experts on Lorentzian geometry. In this volume, the reader will find studies on spatial and null hypersurfaces, low regularity in general relativity, conformal structures, Lorentz-Finsler spacetimes, and more. Given its scope, the book will be of interest to both young and experienced mathematicians and physicists whose research involves general relativity and semi-Riemannian geometry.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 958 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt: