Elliptic differential operators and spectral analysis /
Saved in:
| Author / Creator: | Edmunds, D. E. (David Eric), author. |
|---|---|
| Imprint: | Cham : Springer, 2018. |
| Description: | 1 online resource |
| Language: | English |
| Series: | Springer monographs in mathematics Springer monographs in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11737641 |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | 11737641 | ||
| 005 | 20210625184102.6 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 181126s2018 sz ob 001 0 eng d | ||
| 015 | |a GBB907484 |2 bnb | ||
| 015 | |a GBB917447 |2 bnb | ||
| 016 | 7 | |a 019198536 |2 Uk | |
| 019 | |a 1076260962 |a 1080600394 |a 1086470125 |a 1097162991 |a 1117856392 |a 1125705879 |a 1132923444 | ||
| 020 | |a 9783030021252 |q (electronic bk.) | ||
| 020 | |a 3030021254 |q (electronic bk.) | ||
| 020 | |z 9783030021245 | ||
| 020 | |z 3030021246 | ||
| 024 | 7 | |a 10.1007/978-3-030-02125-2 |2 doi | |
| 035 | |a (OCoLC)1076268830 |z (OCoLC)1076260962 |z (OCoLC)1080600394 |z (OCoLC)1086470125 |z (OCoLC)1097162991 |z (OCoLC)1117856392 |z (OCoLC)1125705879 |z (OCoLC)1132923444 | ||
| 035 | 9 | |a (OCLCCM-CC)1076268830 | |
| 037 | |a com.springer.onix.9783030021252 |b Springer Nature | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d N$T |d EBLCP |d GW5XE |d FIE |d YDX |d UPM |d STF |d OCLCF |d VT2 |d UKMGB |d UKAHL |d OCLCQ |d U@J |d OCLCQ | ||
| 049 | |a MAIN | ||
| 050 | 4 | |a QA377 | |
| 066 | |c (S | ||
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a PBKJ |2 thema | |
| 100 | 1 | |a Edmunds, D. E. |q (David Eric), |e author. |0 http://id.loc.gov/authorities/names/n78010216 | |
| 245 | 1 | 0 | |a Elliptic differential operators and spectral analysis / |c David E. Edmunds, W. Desmond Evans. |
| 264 | 1 | |a Cham : |b Springer, |c 2018. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer monographs in mathematics | |
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed November 27, 2018) | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Intro; Preface; Contents; Basic Notation; 1 Preliminaries; 1.1 Integration; 1.2 Functional Analysis; 1.3 Function Spaces; 1.3.1 Spaces of Continuous Functions; 1.3.2 Sobolev Spaces; 1.4 The Hilbert and Riesz Transforms; 2 The Laplace Operator; 2.1 Mean Value Inequalities; 2.2 Representation of Solutions; 2.3 Dirichlet Problems: The Method of Perron; 2.4 Notes; 3 Second-Order Elliptic Equations; 3.1 Basic Notions; 3.2 Maximum Principles; 4 The Classical Dirichlet Problem for Second-Order Elliptic Operators; 4.1 Preamble; 4.2 The Poisson Equation; 4.3 More General Elliptic Operators; 4.4 Notes | |
| 505 | 8 | |a 5 Elliptic Operators of Arbitrary Order5.1 Preliminaries; 5.2 Gårding's Inequality; 5.3 The Dirichlet Problem; 5.4 A Little Regularity Theory; 5.5 Eigenvalues of the Laplacian; 5.6 Spectral Independence; 5.7 Notes; 6 Operators and Quadratic Forms in Hilbert Space; 6.1 Self-Adjoint Extensions of Symmetric Operators; 6.2 Characterisations of Self-Adjoint Extensions; 6.2.1 Linear Relations; 6.2.2 Boundary Triplets; 6.2.3 Gamma Fields and Weyl Functions; 6.3 The Friedrichs Extension; 6.4 The Krein-Vishik-Birman (KVB) Theory; 6.5 Adjoint Pairs and Closed Extensions; 6.6 Sectorial Operators | |
| 505 | 8 | |a 7.3.3 Limit-Point and Limit-Circle Criteria7.4 Coercive Sectorial Operators; 7.4.1 The Case dim(kerT*) =2.; 7.5 Realisations of Second-Order Elliptic Operators on Domains; 7.6 Notes; 8 The Lp Approach to the Laplace Operator; 8.1 Preamble; 8.2 Technical Results; 8.3 Existence of a Weak Lp Solution; 8.4 Other Procedures; 8.5 Notes; 9 The p-Laplacian; 9.1 Preamble; 9.2 Preliminaries; 9.3 The Dirichlet Problem; 9.4 An Eigenvalue Problem; 9.5 More About the First Eigenvalue; 9.6 Notes; 10 The Rellich Inequality; 10.1 Preamble; 10.2 The Mean Distance Function | |
| 505 | 8 | |a 10.3 Results Involving the Laplace Operator10.4 The p-Laplacian; 11 More Properties of Sobolev Embeddings; 11.1 The Distance Function; 11.2 Nuclear Maps; 11.3 Asymptotic Formulae for Approximation Numbers of Sobolev Embeddings; 11.4 Spaces with Variable Exponent; 11.5 Notes; 12 The Dirac Operator; 12.1 Preamble; 12.2 The Dirac Equation; 12.3 The Free Dirac Operator; 12.4 The Brown-Ravenhall Operator; 12.5 Sums of Operators and Coulomb Potentials; 12.5.1 The Case A= mathbbD; 12.5.2 The Case A = mathbbH; 12.5.3 The Case A= mathbbB; 12.6 The Free Dirac Operator on a Bounded Domain | |
| 520 | |a This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature. Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included. Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations. The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.-- |c Provided by publisher. | ||
| 650 | 0 | |a Differential equations, Elliptic. |0 http://id.loc.gov/authorities/subjects/sh85037895 | |
| 650 | 0 | |a Differential operators. |0 http://id.loc.gov/authorities/subjects/sh85037921 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 1 | 4 | |a Partial Differential Equations. |0 http://scigraph.springernature.com/things/product-market-codes/M12155 |
| 650 | 2 | 4 | |a Ordinary Differential Equations. |0 http://scigraph.springernature.com/things/product-market-codes/M12147 |
| 650 | 2 | 4 | |a Functional Analysis. |0 http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 650 | 2 | 4 | |a Operator Theory. |0 http://scigraph.springernature.com/things/product-market-codes/M12139 |
| 650 | 7 | |a Differential equations, Elliptic. |2 fast |0 (OCoLC)fst00893458 | |
| 650 | 7 | |a Differential operators. |2 fast |0 (OCoLC)fst00893496 | |
| 650 | 7 | |a Differential calculus & equations. |2 bicssc | |
| 650 | 7 | |a Functional analysis & transforms. |2 bicssc | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Evans, W. D., |e author. |0 http://id.loc.gov/authorities/names/n85313941 | |
| 776 | 0 | 8 | |i Print version: |a Edmunds, D.E. (David Eric). |t Elliptic differential operators and spectral analysis. |d Cham : Springer, 2018 |z 3030021246 |z 9783030021245 |w (OCoLC)1051681163 |
| 830 | 0 | |a Springer monographs in mathematics. |0 http://id.loc.gov/authorities/names/n97101238 | |
| 880 | 8 | |6 505-00/(S |a 6.6.1 The Friedrichs Extension6.6.2 The Krein-von Neumann Extension; 6.7 Notes; 7 Realisations of Second-Order Linear Elliptic Operators; 7.1 Sturm-Liouville Operators: Basic Theory; 7.1.1 The Regular Problem; 7.1.2 One Singular Point; 7.1.3 Two Singular End-Points; 7.1.4 The Titchmarsh-Weyl Function and Spectrum; 7.2 KVB Theory for Positive Sturm-Liouville Operators; 7.2.1 Semi-boundedness and Oscillation Theory; 7.2.2 Kalf's Theorem; 7.3 Application of the KVB Theory; 7.3.1 The Limit-Point Case at b; 7.3.2 The Case of b Regular or Limit Circle, and τu=0 Non-oscillatory at b | |
| 903 | |a HeVa | ||
| 929 | |a oclccm | ||
| 999 | f | f | |i 209e5634-f787-5878-a169-7abe40a2554b |s 10659dca-50f6-5f4f-9e4a-ceebf5241eb1 |
| 928 | |t Library of Congress classification |a QA377 |l Online |c UC-FullText |u https://link.springer.com/10.1007/978-3-030-02125-2 |z Springer Nature |g ebooks |i 12558472 | ||