عنوان

Distributions, partial differential equations, and harmonic analysis /

شابک

3030032957

شابک

3030032965

شابک

9783030032951

شابک

9783030032968

شابک اشتباه

9783030032951

عنوان اصلي

Distributions, partial differential equations, and harmonic analysis /

نام عام مواد

[Book]

نام نخستين پديدآور

Dorina Mitrea.

وضعيت ويراست

Second edition.

محل نشرو پخش و غیره

Cham :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xxiii, 600 pages) :

ساير جزييات

illustrations

عنوان فروست

Universitext,

شاپا ي ISSN فروست

0172-5939

متن يادداشت

Includes bibliographical references and indexes.

متن يادداشت

Introduction -- Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces -- Appendix -- References.

بدون عنوان

0

متن يادداشت

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030032968

شماره استاندارد بين المللي کتاب و موسيقي

9783030032951

شماره استاندارد بين المللي کتاب و موسيقي

9783030032975

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Harmonic analysis.

موضوع مستند نشده

Theory of distributions (Functional analysis)

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Harmonic analysis.

موضوع مستند نشده

Theory of distributions (Functional analysis)

موضوع مستند نشده

MAT007000

موضوع مستند نشده

PBKJ

موضوع مستند نشده

PBKJ

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Mitrea, Dorina,1965-

تاريخ عمليات

20200823075220.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y