Aspects Of Boundary Problems In Analysis And Geometry
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| Author | : Juan Gil |
| Publisher | : Birkhäuser |
| Total Pages | : 574 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034878508 |
Boundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
| Author | : Luis A. Caffarelli |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 282 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821837842 |
We hope that the tools and ideas presented here will serve as a basis for the study of more complex phenomena and problems."--Jacket.
| Author | : Günter Schwarz |
| Publisher | : Springer |
| Total Pages | : 161 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540494030 |
Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. It aims at developing a method for solving boundary value problems. Analysing a Dirichlet form on the exterior algebra bundle allows to give a refined version of the classical decomposition results of Morrey. A projection technique leads to existence and regularity theorems for a wide class of boundary value problems for differential forms and vector fields. The book links aspects of the geometry of manifolds with the theory of partial differential equations. It is intended to be comprehensible for graduate students and mathematicians working in either of these fields.
| Author | : Pierre Albin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 378 |
| Release | : 2014-12-01 |
| Genre | : Mathematics |
| ISBN | : 1470410435 |
In 2012, the Centre de Recherches Mathématiques was at the center of many interesting developments in geometric and spectral analysis, with a thematic program on Geometric Analysis and Spectral Theory followed by a thematic year on Moduli Spaces, Extremality and Global Invariants. This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012. The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kähler-Einstein metrics, analytic torsion, and Strichartz estimates. This book is co-published with the Centre de Recherches Mathématiques.
| Author | : Matthias Keller |
| Publisher | : Cambridge University Press |
| Total Pages | : 493 |
| Release | : 2020-08-20 |
| Genre | : Mathematics |
| ISBN | : 1108587380 |
This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.
| Author | : Demeter Krupka |
| Publisher | : Elsevier |
| Total Pages | : 1243 |
| Release | : 2011-08-11 |
| Genre | : Mathematics |
| ISBN | : 0080556736 |
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
| Author | : Alexander A. Balinsky |
| Publisher | : Springer |
| Total Pages | : 277 |
| Release | : 2015-10-20 |
| Genre | : Mathematics |
| ISBN | : 3319228706 |
This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.
| Author | : Diaraf Seck |
| Publisher | : Springer Nature |
| Total Pages | : 525 |
| Release | : 2022-10-09 |
| Genre | : Mathematics |
| ISBN | : 3031046161 |
This book gathers twenty-two papers presented at the second NLAGA-BIRS Symposium, which was held at Cap Skirring and at the Assane Seck University in Ziguinchor, Senegal, on January 25–30, 2022. The five-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometric analysis, geometric structures, dynamics, optimization, inverse problems, complex analysis, algebra, algebraic geometry, control theory, stochastic approximations, and modelling.
| Author | : H. Lakshmininarayana |
| Publisher | : Universities Press |
| Total Pages | : 268 |
| Release | : 2004-10 |
| Genre | : Engineering mathematics |
| ISBN | : 9788173714764 |
This textbook has emerged from three decades of experience gained by the author in education, research and practice. The basic concepts, mathematical models and computational algorithms supporting the Finite Element Method (FEM) are clearly and concisely developed.
| Author | : Sanjaya Kumar Patro |
| Publisher | : Techsar Pvt. Ltd. |
| Total Pages | : 344 |
| Release | : 2016-12-09 |
| Genre | : Technology & Engineering |
| ISBN | : 9385909568 |
Veer Surendra Sai University of Technology (VSSUT), Burla is one among the foremost universities of India in the field of higher education, basic and applied research. The foundation of this iconic college was laid in 1956 to cater the maintenance and upkeep of the mighty Hirakud Dam (worlds longest earth dam) at Burla. The university now has sixteen academic departments ion various disciplines in engineering and sciences. The International Conference on Advances in Mechanics and Materials (ICRAMM-2016), was organized at the Veer Surendra Sai University of Technology, Burla, Odisha during 17-18 December, 2016. Over the years, tremendous progress has been made in the fields related to mechanics and materials due to rapid advancements in analytical, experimental and computational facilities. The outcome has immensely benefited the industries, research and academic organizations in numerous ways. The International Conference on Recent Advances in Mechanics and Materials (ICRAMM-2016) will provide a common platform for academicians, engineers, scientists and technologists to come together and discuss the progress made on various aspects of mechanics and materials. Realizing the importance of recent developments in the areas of recent advances in mechanics and materials, the conference ICRAMM 2016, focuses on following major themes: Computational mechanics, Experimental mechanics, Fluid mechanics, Geomechanics, Structural mechanics, Continuum mechanics, Coupled field problems, Structural and Soil Dynamics, Vibration Control, Structural Health Monitoring, Rehabilitation and Retrofitting of structures, Composite Materials, Cement Concrete Composites and Sustainable construction materials. The papers included in this conference proceeding reflect in general the need for emerging technologies and growing interest in structural mechanics and materials to tailor it to meet the requirements for the varying application.
