Direct methods in the theory of elliptic equations
Nečas book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas work essentially in the form it w...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Autres auteurs: | , , , |
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2012. |
| Collection: | Springer Monographs in Mathematics
|
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Description d'après consultation du 2014-02-07 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Direct methods in the theory of elliptic equations, Jindřich Nečas, 2012, Berlin [etc.], Springer, 1 vol. (XVI-372 p.), Springer monographs in mathematics, 978-3-642-10454-1 |
| LEADER | 05700nam a22004577a 4500 | ||
|---|---|---|---|
| 001 | 958592 | ||
| 008 | 140207q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN176171029 | ||
| 020 | |a 9783642104558 | ||
| 041 | 1 | |a eng |h fre | |
| 082 | |a 515.353 | ||
| 084 | |a 35J15. 2010 | ||
| 084 | |a 35J45. 2010 | ||
| 084 | |a 35J55. 2010 | ||
| 100 | 1 | |a Nečas, Jindrich, |d 1929-2002. | |
| 245 | 1 | 0 | |a Direct methods in the theory of elliptic equations |c Jindřich Nečas ; editorial coordination and preface by Šárka Nečasová ; and a contribution by Christian G. Simader ; translated by Gerard Tronel and Alois Kufner. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 2014-02-07 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 1.Introduction to the problem 2.Sobolev spaces 3.Exitence, Uniqueness of basic problems 4.Regularity of solution 5.Applications of Rellich's inequalities and generalization to boundary value problems 6.Sobolev spaces with weights and applications to the boundary value problems 7.Regularity of solutions in case of irregular domains and elliptic problems with variable coefficients. | |
| 505 | 0 | |a 1.Introduction to the problem -- 2.Sobolev spaces -- 3.Exitence, Uniqueness of basic problems -- 4.Regularity of solution -- 5.Applications of Rellich s inequalities and generalization to boundary value problems -- 6.Sobolev spaces with weights and applications to the boundary value problems -- 7.Regularity of solutions in case of irregular domains and elliptic problems with variable coefficients | |
| 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 Nečas book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas work essentially in the form it was published in 1967. It gives a timeless and in some sense definitive treatment of a number issues in variational methods for elliptic systems and higher order equations. The text is recommended to graduate students of partial differential equations, postdoctoral associates in Analysis, and scientists working with linear elliptic systems. In fact, any researcher using the theory of elliptic systems will benefit from having the book in his library. The volume gives a self-contained presentation of the elliptic theory based on the "direct method", also known as the variational method. Due to its universality and close connections to numerical approximations, the variational method has become one of the most important approaches to the elliptic theory. The method does not rely on the maximum principle or other special properties of the scalar second order elliptic equations, and it is ideally suited for handling systems of equations of arbitrary order. The prototypical examples of equations covered by the theory are, in addition to the standard Laplace equation, Lame s system of linear elasticity and the biharmonic equation (both with variable coefficients, of course). General ellipticity conditions are discussed and most of the natural boundary condition is covered. The necessary foundations of the function space theory are explained along the way, in an arguably optimal manner. The standard boundary regularity requirement on the domains is the Lipschitz continuity of the boundary, which "when going beyond the scalar equations of second order" turns out to be a very natural class. These choices reflect the author's opinion that the Lame system and the biharmonic equations are just as important as the Laplace equation, and that the class of the domains with the Lipschitz continuous boundary (as opposed to smooth domains) is the most natural class of domains to consider in connection with these equations and their applications | ||
| 650 | |a Équations différentielles elliptiques | ||
| 700 | 1 | |a Nečasová, Šárka, |d 1965- |4 pbd | |
| 700 | 1 | |a Tronel, Gérard, |d 1934-2017. |4 trl | |
| 700 | 1 | |a Kufner, Alois, |d 1934- |4 trl | |
| 700 | 1 | |a Simader, Christian G. |4 clb | |
| 765 | 0 | |0 005988098 |t Les méthodes directes en théorie des équations elliptiques |f par Jindrich Nečas |d 1967 |c Paris |n Masson |n Academia |p 1 vol. (351 p.) | |
| 776 | 0 | |0 156537559 |t Direct methods in the theory of elliptic equations |f Jindřich Nečas |d 2012 |c Berlin [etc.] |n Springer |p 1 vol. (XVI-372 p.) |s Springer monographs in mathematics |z 978-3-642-10454-1 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-10455-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-CDP48T59-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749128216 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-10455-8 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752137204 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-10455-8 |z Accès INSA CVL | |
| 997 | |0 958592 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||