An Introduction to Nonlinear Functional Analysis and Elliptic Problems

An Introduction to Nonlinear Functional Analysis and Elliptic Problems PDF Author: Antonio Ambrosetti
Publisher: Springer Science & Business Media
ISBN: 0817681140
Category : Mathematics
Languages : en
Pages : 203

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Book Description
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

An Introduction to Nonlinear Functional Analysis and Elliptic Problems

An Introduction to Nonlinear Functional Analysis and Elliptic Problems PDF Author: Antonio Ambrosetti
Publisher: Springer Science & Business Media
ISBN: 0817681140
Category : Mathematics
Languages : en
Pages : 203

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Book Description
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.

Progress in Analysis

Progress in Analysis PDF Author: International Society for Analysis, Applications, and Computation. Congress
Publisher: World Scientific
ISBN: 9812794255
Category : Mathematics
Languages : en
Pages : 737

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Book Description
The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting. Contents: .: Volume 1: Function Spaces and Fractional Calculus (V I Burenkov & S Samko); Asymptotic Decomposition (Methods of Small Parameters, Averaging Theory) (J A Dubinski); Integral Transforms and Applications (S Saitoh et al.); Analytic Functionals, Hyperfunctions and Generalized Functions (M Morimoto & H Komatsu); Geometric Function Theory (G Kohr & M Kohr); omplex Function Spaces (R Aulaskari & I Laine); Value Distribution Theory and Complex Dynamics (C C Yang); Clifford Analysis (K Grlebeck et al.); Octonions (T Dray & C Monogue); Nonlinear Potential Theory (O Martio); Classical and Fine Potential Theory, Holomorphic and Finely Holomorphic Functions (P Tamrazov); Differential Geometry and Control Theory for PDEs (B Gulliver et al.); Differential Geometry and Quantum Physics (-); Dynamical Systems (B Fiedler); Attractors for Partial Differential Equations (G Raugel); Spectral Theory of Differential Operators (B Vainberg); Pseudodifferential Operators, Quantization and Signal Analysis (M W Wong); Microlocal Analysis (B-W Schulze & M Korey); Volume 2: Complex and Functional Analytic Methods in PDEs (A Cialdea et al.); Geometric Properties of Solutions of PDEs (R Magnanini); Qualitative Properties of Solutions of Hyperbolic and SchrAdinger Equations (M Reissig & K Yagdjian); Homogenization Moving Boundaries and Porous Media (A Bourgeat & R P Gilbert); Constructive Methods in Applied Problems (P Krutitskii); Waves in Complex Media (R P Gilbert & A Wirgin); Nonlinear Waves (I Lasiecka & H Koch); Mathematical Analysis of Problems in Solid Mechanics (K Hackl & X Li); Direct and Inverse Scattering (L Fishman); Inverse Problems (G N Makrakis et al.); Mathematical Methods in Non-Destructive Evaluation and Non-Destructive Testing (A Wirgin); Numerical Methods for PDEs, Systems and Optimization (A Ben-Israel & I Herrera). Readership: Graduate students and researchers in real, complex, numerical analysis, as well as mathematical physics."

Functional Analysis

Functional Analysis PDF Author: Kosaku Yosida
Publisher: Springer Science & Business Media
ISBN: 3662117916
Category : Mathematics
Languages : en
Pages : 480

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Book Description


Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations PDF Author: Haim Brezis
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600

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Book Description
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Progress in Computer-assisted Function Analysis

Progress in Computer-assisted Function Analysis PDF Author: Jos L. Willems
Publisher: North Holland
ISBN:
Category : Education
Languages : en
Pages : 464

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Book Description
Hardbound. The objective of the conference on which this book is based was to provide the state of the art of various methods of information processing for the analysis and assessment of different organ systems including the heart, the brain, the respiratory and renal system, as well as overall regulatory processes. There was a strong emphasis on automated EEG analysis and processing of evoked potentials. Perinatal monitoring, ICU and anesthesia monitoring, decision support and expert systems and imaging for function analysis were the themes of other working sessions.The book gives a fair reflection of the state of the art in this field and of the achievements made over the last few years. Most of the progress in these areas has been the result of an integrated and interdisciplinary cooperation of physicians, engineers, mathematicians and computer scientists. The application of computer technology and basic methods of signal analysis and pattern recogni"

Recent Progress in Function Theory and Operator Theory

Recent Progress in Function Theory and Operator Theory PDF Author: Alberto A. Condori
Publisher: American Mathematical Society
ISBN: 1470472465
Category : Mathematics
Languages : en
Pages : 226

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Book Description
This volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. Function theory is a classical subject that examines the properties of individual elements in a function space, while operator theory usually deals with concrete operators acting on such spaces or other structured collections of functions. These topics occupy a central position in analysis, with important connections to partial differential equations, spectral theory, approximation theory, and several complex variables. With the aid of certain canonical representations or “models”, the study of general operators can often be reduced to that of the operator of multiplication by one or several independent variables, acting on spaces of analytic functions or compressions of this operator to co-invariant subspaces. In this way, a detailed understanding of operators becomes connected with natural questions concerning analytic functions, such as zero sets, constructions of functions constrained by norms or interpolation, multiplicative structures granted by factorizations in spaces of analytic functions, and so forth. In many cases, non-obvious problems initially motivated by operator-theoretic considerations turn out to be interesting on their own, leading to unexpected challenges in function theory. The research papers in this volume deal with the interplay between function theory and operator theory and the way in which they influence each other.

Functional Analysis, Spectral Theory, and Applications

Functional Analysis, Spectral Theory, and Applications PDF Author: Manfred Einsiedler
Publisher: Springer
ISBN: 3319585401
Category : Mathematics
Languages : en
Pages : 626

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Book Description
This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory. In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl’s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao’s approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study. Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.

Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes)

Progress In Analysis, Proceedings Of The 3rd Isaac Congress (In 2 Volumes) PDF Author: Heinrich G W Begehr
Publisher: World Scientific
ISBN: 9814485233
Category : Mathematics
Languages : en
Pages : 1557

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Book Description
The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.

Progress in Drug Research

Progress in Drug Research PDF Author: Ernst Jucker
Publisher: Springer Science & Business Media
ISBN: 9783764362669
Category : Medical
Languages : en
Pages : 316

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Book Description
Progress in Drug Research is a prestigious book series which provides extensive expert-written reviews on a wide spectrum of highly topical areas in current pharmaceutical and pharmacological research. It serves as an important source of information for researchers concerned with drug research and all those who need to keep abreast of the many recent developments in the quest for new and better medicines.

Progress in Drug Research

Progress in Drug Research PDF Author: Pushkar N. Kaul
Publisher: Birkhäuser
ISBN: 3034883080
Category : Medical
Languages : en
Pages : 306

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Book Description