Partial differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2023]
|
| Ausgabe: | Third edition |
| Schriftenreihe: | Cornerstones
|
| Schlagworte: | |
| Beschreibung: | This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students.Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference Preliminaries.- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem.- The Laplace Equation.- Boundary Value Problems by Double-Layer Potentials.- Integral Equations and Eigenvalue Problems.- The Heat Equation.- The Wave Equation.- Quasi-Linear Equations of First Order.- Linear Elliptic Equations with Measurable Coefficients.- Elliptic De Giorgi Classes.- Navier-Stokes Equations.- Quasi-Linear Hyperbolic First Order Systems.- Non-Linear Equations of the First Order |
| Beschreibung: | xxx, 748 Seiten Illustrationen 1328 gr |
| ISBN: | 9783031466175 |
Internformat
MARC
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| 100 | 1 | |a DiBenedetto, Emmanuele |d 1947-2021 |e Verfasser |0 (DE-588)139140034 |4 aut | |
| 245 | 1 | 0 | |a Partial differential equations |c Emmanuele DiBenedetto, Ugo Gianazza |
| 250 | |a Third edition | ||
| 264 | 1 | |a Cham, Switzerland |b Birkhäuser |c [2023] | |
| 300 | |a xxx, 748 Seiten |b Illustrationen |c 1328 gr | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cornerstones | |
| 500 | |a This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students.Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference | ||
| 500 | |a Preliminaries.- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem.- The Laplace Equation.- Boundary Value Problems by Double-Layer Potentials.- Integral Equations and Eigenvalue Problems.- The Heat Equation.- The Wave Equation.- Quasi-Linear Equations of First Order.- Linear Elliptic Equations with Measurable Coefficients.- Elliptic De Giorgi Classes.- Navier-Stokes Equations.- Quasi-Linear Hyperbolic First Order Systems.- Non-Linear Equations of the First Order | ||
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| 650 | 4 | |a bisacsh | |
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| 650 | 4 | |a bisacsh | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Difference equations | |
| 650 | 4 | |a Functional equations | |
| 650 | 4 | |a Integral equations | |
| 650 | 4 | |a Mathematical models | |
| 650 | 4 | |a Differential equations | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 653 | |a Hardcover, Softcover / Mathematik/Analysis | ||
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| 700 | 1 | |a Gianazza, Ugo |e Verfasser |0 (DE-588)1018067728 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-031-46618-2 |
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Datensatz im Suchindex
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| id | DE-604.BV049459418 |
| illustrated | Illustrated |
| index_date | 2024-07-03T23:14:30Z |
| indexdate | 2024-07-10T10:07:50Z |
| institution | BVB |
| isbn | 9783031466175 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034805170 |
| oclc_num | 1420789900 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | xxx, 748 Seiten Illustrationen 1328 gr |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Cornerstones |
| spelling | DiBenedetto, Emmanuele 1947-2021 Verfasser (DE-588)139140034 aut Partial differential equations Emmanuele DiBenedetto, Ugo Gianazza Third edition Cham, Switzerland Birkhäuser [2023] xxx, 748 Seiten Illustrationen 1328 gr txt rdacontent n rdamedia nc rdacarrier Cornerstones This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students.Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference Preliminaries.- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem.- The Laplace Equation.- Boundary Value Problems by Double-Layer Potentials.- Integral Equations and Eigenvalue Problems.- The Heat Equation.- The Wave Equation.- Quasi-Linear Equations of First Order.- Linear Elliptic Equations with Measurable Coefficients.- Elliptic De Giorgi Classes.- Navier-Stokes Equations.- Quasi-Linear Hyperbolic First Order Systems.- Non-Linear Equations of the First Order bicssc bisacsh Functional analysis Difference equations Functional equations Integral equations Mathematical models Differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Hardcover, Softcover / Mathematik/Analysis Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Gianazza, Ugo Verfasser (DE-588)1018067728 aut Erscheint auch als Online-Ausgabe 978-3-031-46618-2 |
| spellingShingle | DiBenedetto, Emmanuele 1947-2021 Gianazza, Ugo Partial differential equations bicssc bisacsh Functional analysis Difference equations Functional equations Integral equations Mathematical models Differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4044779-0 |
| title | Partial differential equations |
| title_auth | Partial differential equations |
| title_exact_search | Partial differential equations |
| title_exact_search_txtP | Partial differential equations |
| title_full | Partial differential equations Emmanuele DiBenedetto, Ugo Gianazza |
| title_fullStr | Partial differential equations Emmanuele DiBenedetto, Ugo Gianazza |
| title_full_unstemmed | Partial differential equations Emmanuele DiBenedetto, Ugo Gianazza |
| title_short | Partial differential equations |
| title_sort | partial differential equations |
| topic | bicssc bisacsh Functional analysis Difference equations Functional equations Integral equations Mathematical models Differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | bicssc bisacsh Functional analysis Difference equations Functional equations Integral equations Mathematical models Differential equations Partielle Differentialgleichung |
| work_keys_str_mv | AT dibenedettoemmanuele partialdifferentialequations AT gianazzaugo partialdifferentialequations |