Partial differential equations : a unified Hilbert space approach /
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| Author / Creator: | Picard, R. H. (Rainer H.) |
|---|---|
| Imprint: | Berlin ; New York : De Gruyter, ©2011. |
| Description: | 1 online resource (xviii, 469 pages) |
| Language: | English |
| Series: | De Gruyter expositions in mathematics ; 55 De Gruyter expositions in mathematics ; 55. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11277429 |
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| 100 | 1 | |a Picard, R. H. |q (Rainer H.) |0 http://id.loc.gov/authorities/names/n88033139 | |
| 245 | 1 | 0 | |a Partial differential equations : |b a unified Hilbert space approach / |c Rainer Picard, Des McGhee. |
| 260 | |a Berlin ; |a New York : |b De Gruyter, |c ©2011. | ||
| 300 | |a 1 online resource (xviii, 469 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a De Gruyter expositions in mathematics ; |v 55 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |6 880-01 |a Preface; Contents; Nomenclature; 1 Elements of Hilbert Space Theory; 2 Sobolev Lattices; 3 Linear Partial Differential Equations with Constant Coefficients; 4 Linear Evolution Equations; 5 Some Evolution Equations of Mathematical Physics; 6 A "Royal Road" to Initial Boundary Value Problems; Conclusion; Bibliography; Index. | |
| 520 | |a This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev Lattice structure, a simple extension of the well established notion of a chain (or scale) of Hilbert spaces. Thefocus on a Hilbert space setting is a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. This global point of view is takenby focussing on the issues involved in determining the appropriate func. | ||
| 546 | |a In English. | ||
| 650 | 0 | |a Hilbert space. |0 http://id.loc.gov/authorities/subjects/sh85060803 | |
| 650 | 0 | |a Differential equations, Partial. |0 http://id.loc.gov/authorities/subjects/sh85037912 | |
| 650 | 4 | |a Differential equations, Partial. | |
| 650 | 4 | |a Equations. | |
| 650 | 4 | |a Hilbert space. | |
| 650 | 7 | |a MATHEMATICS |x Transformations. |2 bisacsh | |
| 650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
| 650 | 7 | |a Hilbert space. |2 fast |0 (OCoLC)fst00956785 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a McGhee, D. F. | |
| 776 | 0 | 8 | |i Print version: |a Picard, R.H. (Rainer H.). |t Partial differential equations. |d Berlin ; New York : De Gruyter, ©2011 |z 9783110250268 |w (DLC) 2011004423 |w (OCoLC)705567992 |
| 830 | 0 | |a De Gruyter expositions in mathematics ; |v 55. |0 http://id.loc.gov/authorities/names/n90653843 | |
| 880 | 0 | |6 505-01/(S |a Machine generated contents note: 1. Elements of Hilbert Space Theory -- 1.1. Hilbert Space -- 1.2. Some Construction Principles of Hilbert Spaces -- 1.2.1. Direct Sums of Hilbert Spaces -- 1.2.2. Dual Spaces -- 1.2.3. Tensor Products of Hilbert Spaces -- 2. Sobolev Lattices -- 2.1. Sobolev Chains -- 2.2. Sobolev Lattices -- 2.3. Sobolev Lattices from Tensor Products of Sobolev Chains -- 3. Linear Partial Differential Equations with Constant Coefficients -- 3.1. Partial Differential Equations in H-[∞]([∂]ν + e) -- 3.1.1. First Steps Towards a Solution Theory -- 3.1.2. The Tarski-Seidenberg Theorem and some Consequences -- 3.1.3. Regularity Loss (0 ...,0) -- 3.1.4. Classification of Partial Differential Equations -- 3.1.5. The Classical Classification of Partial Differential Equations -- 3.1.6. Elliptic, Parabolic, Hyperbolic-- 3.1.7. Evolutionary Expressions in Canonical Form -- 3.1.8. Functions of [∂]ν and Convolutions -- 3.1.9. Systems and Scalar Equations. | |
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| 928 | |t Library of Congress classification |a QA322.4 .P53 2011eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=381760 |z eBooks on EBSCOhost |g ebooks |i 12355463 | ||