Some Applications of Functional Analysis in Mathematical Physics

Author: Sergeĭ Lʹvovich Sobolev

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 286

View: 569

Translation of the 1988 Russian exposition of the theory of the function spaces now called Sobolev spaces, which are widely used in the theory of partial differential equations, mathematical physics, and numerous applications; of the variational method of solution of boundary value problems for elli"

Some Applications of Functional Analysis in Mathematical Physics

Author: S. L. Sobolev

Publisher: American Mathematical Soc.

ISBN:

Category:

Page: 286

View: 732

Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index

Applied Functional Analysis

Applications to Mathematical Physics

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 481

View: 863

The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Elements of the Theory of Functions and Functional Analysis

Author: Andre? Nikolaevich Kolmogorov

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 288

View: 162

Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Methods of Modern Mathematical Physics: Functional analysis

Author: Michael Reed

Publisher: Gulf Professional Publishing

ISBN:

Category: Science

Page: 400

View: 521

This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

Perturbations of Positive Semigroups with Applications

Author: Jacek Banasiak

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 438

View: 132

This book deals mainly with modelling systems that change with time. The evolution equations that it describes can be found in a number of application areas, such as kinetics, fragmentation theory and mathematical biology. This will be the first self-contained account of the area.

Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

Author: Tynysbek Sh. Kalmenov

Publisher: Springer

ISBN:

Category: Mathematics

Page: 456

View: 104

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; differential equations and boundary value problems; the relationship between differential equations, integral operators and spectral theory; and mathematical methods in physical sciences. Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis.