Distributions, partial differential equations, and harmonic analysis
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 eithe...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
New York, NY :
Springer New York
2013.
Cham : Springer Nature |
| Cyfres: | Universitext
|
| Mynediad Ar-lein: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nodyn: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea, New York (N.Y.), Springer, 2013, 1 vol. (460 p.), Universitext, 978-1-461-48207-9 |
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| 008 | 131018q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN172420865 | ||
| 020 | |a 9781461482086 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 100 | 1 | |a Mitrea, Dorina, |d 1965- | |
| 245 | 1 | 0 | |a Distributions, partial differential equations, and harmonic analysis |c by Dorina Mitrea. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2013. | ||
| 490 | 0 | |a Universitext |x 0172-5939 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 776 | 0 | |0 172614457 |t Distributions, partial differential equations, and harmonic analysis |f Dorina Mitrea |c New York (N.Y.) |n Springer |d 2013 |p 1 vol. (460 p.) |s Universitext |z 978-1-461-48207-9 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4614-8208-6 |z Accès sur la plateforme de l'éditeur | |
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| 997 | |0 946868 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||