skip to content
Partial differential equations Preview this item
ClosePreview this item
Checking...

Partial differential equations

Author: Jürgen Jost
Publisher: New York : Springer, ©2002.
Series: Graduate texts in mathematics, 214.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view toward nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jürgen Jost
ISBN: 0387954287 9780387954288
OCLC Number: 48681893
Description: xi, 325 pages : illustrations ; 25 cm.
Contents: 1. The Laplace equation as the prototype of an elliptic partial differential equation of second order --
2. The maximum principle --
3. Existence techniques I: methods based on the maximum principle --
4. Existence techniques II: parabolic methods. The heat equation --
5. The wave equation and its connections with the Laplace nad heat equations --
6. The heat equation, semigroups, and Brownian motion --
7. The Dirichlet principle. Variational methods for the solution of PDEs (existence techniques III) --
8. Sobolev spaces and L[superscript 2] regularity theory --
9. Strong solutions --
10. The regularity theory of Schauder and the continuity method (existence techniques IV) --
11. The Moser iteration method and the regularity theorem of de Giorgi and Nash --
Appendix: Banach and Hilbert spaces. The L[superscript p]-spaces.
Series Title: Graduate texts in mathematics, 214.
Responsibility: Jürgen Jost.

Abstract:

Intended for students who wish to get an introduction to the theory of partial differential equations. This book focuses on elliptic equations and develops the relevant existence schemes, with a view  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews: MATHEMATICAL REVIEWS .,"the composition of this book is somewhat classical. Indeed the author covers the main properties of the elliptic, parabolic and hyperbolic equations. But he Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/48681893> # Partial differential equations
    a schema:CreativeWork, schema:Book ;
    library:oclcnum "48681893" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:about <http://experiment.worldcat.org/entity/work/data/15361897#Topic/equations_aux_derivees_partielles> ; # Équations aux dérivées partielles
    schema:about <http://experiment.worldcat.org/entity/work/data/15361897#Topic/partiele_differentiaalvergelijkingen> ; # Partiële differentiaalvergelijkingen
    schema:about <http://experiment.worldcat.org/entity/work/data/15361897#Topic/partielle_differentialgleichung> ; # Partielle Differentialgleichung
    schema:about <http://id.worldcat.org/fast/893484> ; # Differential equations, Partial
    schema:about <http://experiment.worldcat.org/entity/work/data/15361897#Topic/equacoes_diferenciais_parciais_textos_avancados_analise> ; # Equações diferenciais parciais (textos avançados;análise)
    schema:about <http://dewey.info/class/515.353/e21/> ;
    schema:bookFormat bgn:PrintBook ;
    schema:copyrightYear "2002" ;
    schema:creator <http://viaf.org/viaf/85413283> ; # Jürgen Jost
    schema:datePublished "2002" ;
    schema:description "1. The Laplace equation as the prototype of an elliptic partial differential equation of second order -- 2. The maximum principle -- 3. Existence techniques I: methods based on the maximum principle -- 4. Existence techniques II: parabolic methods. The heat equation -- 5. The wave equation and its connections with the Laplace nad heat equations -- 6. The heat equation, semigroups, and Brownian motion -- 7. The Dirichlet principle. Variational methods for the solution of PDEs (existence techniques III) -- 8. Sobolev spaces and L[superscript 2] regularity theory -- 9. Strong solutions -- 10. The regularity theory of Schauder and the continuity method (existence techniques IV) -- 11. The Moser iteration method and the regularity theorem of de Giorgi and Nash -- Appendix: Banach and Hilbert spaces. The L[superscript p]-spaces."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/15361897> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/15361897#Series/graduate_texts_in_mathematics> ; # Graduate texts in mathematics ;
    schema:name "Partial differential equations"@en ;
    schema:productID "48681893" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/48681893#PublicationEvent/new_york_springer_2002> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/15361897#Agent/springer> ; # Springer
    schema:reviews <http://www.worldcat.org/title/-/oclc/48681893#Review/-1810111656> ;
    schema:url <http://www.gbv.de/dms/goettingen/345060148.pdf> ;
    schema:workExample <http://worldcat.org/isbn/9780387954288> ;
    umbel:isLike <http://d-nb.info/965669394> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA2W7371> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/48681893> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/15361897#Series/graduate_texts_in_mathematics> # Graduate texts in mathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/48681893> ; # Partial differential equations
    schema:name "Graduate texts in mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/15361897#Topic/equacoes_diferenciais_parciais_textos_avancados_analise> # Equações diferenciais parciais (textos avançados;análise)
    a schema:Intangible ;
    schema:name "Equações diferenciais parciais (textos avançados;análise)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/15361897#Topic/equations_aux_derivees_partielles> # Équations aux dérivées partielles
    a schema:Intangible ;
    schema:name "Équations aux dérivées partielles"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/15361897#Topic/partiele_differentiaalvergelijkingen> # Partiële differentiaalvergelijkingen
    a schema:Intangible ;
    schema:name "Partiële differentiaalvergelijkingen"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/15361897#Topic/partielle_differentialgleichung> # Partielle Differentialgleichung
    a schema:Intangible ;
    schema:name "Partielle Differentialgleichung"@en ;
    .

<http://id.worldcat.org/fast/893484> # Differential equations, Partial
    a schema:Intangible ;
    schema:name "Differential equations, Partial"@en ;
    .

<http://viaf.org/viaf/85413283> # Jürgen Jost
    a schema:Person ;
    schema:birthDate "1956" ;
    schema:familyName "Jost" ;
    schema:givenName "Jürgen" ;
    schema:name "Jürgen Jost" ;
    .

<http://worldcat.org/isbn/9780387954288>
    a schema:ProductModel ;
    schema:isbn "0387954287" ;
    schema:isbn "9780387954288" ;
    .

<http://www.worldcat.org/title/-/oclc/48681893#Review/-1810111656>
    a schema:Review ;
    schema:itemReviewed <http://www.worldcat.org/oclc/48681893> ; # Partial differential equations
    schema:reviewBody ""This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view toward nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations."--Jacket." ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.