Polyharmonic Boundary Value Problems

Author : Filippo Gazzola
Publisher : Springer Science & Business Media
ISBN 13 : 3642122442
Total Pages : 444 pages
Book Rating : 4.46/5 ( download)

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Download or read book Polyharmonic Boundary Value Problems written by Filippo Gazzola and published by Springer Science & Business Media. This book was released on 2010-06-03 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.

Author : F. D. Gakhov
Publisher : Elsevier
ISBN 13 : 1483164985
Total Pages : 585 pages
Book Rating : 4.84/5 ( download)

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Download or read book Boundary Value Problems written by F. D. Gakhov and published by Elsevier. This book was released on 2014-07-10 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems is a translation from the Russian of lectures given at Kazan and Rostov Universities, dealing with the theory of boundary value problems for analytic functions. The emphasis of the book is on the solution of singular integral equations with Cauchy and Hilbert kernels. Although the book treats the theory of boundary value problems, emphasis is on linear problems with one unknown function. The definition of the Cauchy type integral, examples, limiting values, behavior, and its principal value are explained. The Riemann boundary value problem is emphasized in considering the theory of boundary value problems of analytic functions. The book then analyzes the application of the Riemann boundary value problem as applied to singular integral equations with Cauchy kernel. A second fundamental boundary value problem of analytic functions is the Hilbert problem with a Hilbert kernel; the application of the Hilbert problem is also evaluated. The use of Sokhotski's formulas for certain integral analysis is explained and equations with logarithmic kernels and kernels with a weak power singularity are solved. The chapters in the book all end with some historical briefs, to give a background of the problem(s) discussed. The book will be very valuable to mathematicians, students, and professors in advanced mathematics and geometrical functions.

Author : Ram N. Mohapatra
Publisher : Springer
ISBN 13 : 8132224523
Total Pages : 493 pages
Book Rating : 4.25/5 ( download)

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Download or read book Mathematics and Computing written by Ram N. Mohapatra and published by Springer. This book was released on 2015-06-25 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments and contemporary research in mathematics, statistics and their applications in computing. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. This is the second conference on mathematics and computing organized at Haldia Institute of Technology, India. The conference has emerged as a powerful forum, offering researchers a venue to discuss, interact and collaborate, and stimulating the advancement of mathematics and its applications in computer science. The book will allow aspiring researchers to update their knowledge of cryptography, algebra, frame theory, optimizations, stochastic processes, compressive sensing, functional analysis, complex variables, etc. Educating future consumers, users, producers, developers and researchers in mathematics and computing is a challenging task and essential to the development of modern society. Hence, mathematics and its applications in computing are of vital importance to a broad range of communities, including mathematicians and computing professionals across different educational levels and disciplines. In current research, modeling and simulation, making decisions under uncertainty and pattern recognition have become very common. Professionals across different educational levels and disciplines need exposure to advances in mathematics and computing. In this context, this book presents research papers on applicable areas of current interest. It also includes papers in which experts summarize research findings, such as signal processing and analysis and low-rank-matrix approximation for solving large systems, which will emerge as powerful tools for further research. These new advances and cutting-edge research in the fields of mathematics and their applications to computing are of paramount importance for young researchers.

Author : Michael Ruzhansky
Publisher : CRC Press
ISBN 13 : 0429780575
Total Pages : 366 pages
Book Rating : 4.78/5 ( download)

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Download or read book Spectral Geometry of Partial Differential Operators written by Michael Ruzhansky and published by CRC Press. This book was released on 2020-02-07 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory.

Author : Fedor Dmitrievich Gakhov
Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.53/5 ( download)

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Download or read book Boundary Value Problems written by Fedor Dmitrievich Gakhov and published by . This book was released on 1966 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Angela Slavova
Publisher : Springer Nature
ISBN 13 : 3031214846
Total Pages : 457 pages
Book Rating : 4.44/5 ( download)

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Download or read book New Trends in the Applications of Differential Equations in Sciences written by Angela Slavova and published by Springer Nature. This book was released on 2023-03-17 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17–20, 2022. The works are devoted to many applications of differential equations in different fields of science. A number of phenomena in nature (physics, chemistry, biology) and in society (economics) result in problems leading to the study of linear and nonlinear differential equations, stochastic equations, statistics, analysis, numerical analysis, optimization, and more. The main topics are presented in the five parts of the book - applications in mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis. In this volume, the reader will find a wide range of problems concerning recent achievements in both theoretical and applied mathematics. The main goal is to promote the exchange of new ideas and research between scientists, who develop and study differential equations, and researchers, who apply them for solving real-life problems. The book promotes basic research in mathematics leading to new methods and techniques useful for applications of differential equations. The NTADES 2022 conference was organized in cooperation with the Society of Industrial and Applied Mathematics (SIAM), the major international organization for Industrial and Applied Mathematics and for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering, finance, and neuroscience.

Author : Serge_ L_vovich Sobolev R. A. Aleksandrjan
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895436
Total Pages : 356 pages
Book Rating : 4.35/5 ( download)

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Download or read book Partial Differential Equations written by Serge_ L_vovich Sobolev R. A. Aleksandrjan and published by American Mathematical Soc.. This book was released on 1976-12-31 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Xavier Cabré
Publisher : Springer
ISBN 13 : 3319951866
Total Pages : 198 pages
Book Rating : 4.67/5 ( download)

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Download or read book Geometry of PDEs and Related Problems written by Xavier Cabré and published by Springer. This book was released on 2018-10-03 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. Collecting together the lecture notes of the five mini-courses given at the CIME Summer School held in Cetraro (Cosenza, Italy) in the week of June 19–23, 2017, the volume presents a friendly introduction to a broad spectrum of up-to-date and hot topics in the study of PDEs, describing the state-of-the-art in the subject. It also gives further details on the main ideas of the proofs, their technical difficulties, and their possible extension to other contexts. Aiming to be a primary source for researchers in the field, the book will attract potential readers from several areas of mathematics.

Author : Tahir Aliyev Azero?lu
Publisher : World Scientific
ISBN 13 : 9812705988
Total Pages : 301 pages
Book Rating : 4.83/5 ( download)

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Download or read book Complex Analysis and Potential Theory written by Tahir Aliyev Azero?lu and published by World Scientific. This book was released on 2007 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Khnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.

Author :
Publisher :
ISBN 13 : 9814475718
Total Pages : pages
Book Rating : 4.16/5 ( download)

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Download or read book Complex Analysis and Potential Theory written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: