Sobolev Spaces and Elliptic Partial Differential Equations : Variational Method using Lax-Milgram Theorem
Language: English
Published by LAP Lambert Academic Publishing, 2012
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 47.51
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Add to basketItem description from seller
nach der Bestellung gedruckt Neuware - Printed after ordering - The main objective to the study of theory of Partial Differential Equations (PDEs) is to insure or find out properties of solutions of PDE that are not directly attainable by direct analytical means. Certain function spaces have certain known properties for which solutions of PDEs can be classified. As a result, this work critically looked into some function spaces and their properties. We consider extensively, Lp-spaces, distribution theory and sobolev spaces. The emphasis is made on sobolev spaces, which permit a modern approach to the study of differential equations. Looking at the linear elliptic partial differential equations considered in this work, we see that the key is Lax-Milgram theorem and the full understanding of Sobolev spaces and its properties. We are able to remove the rigor associated with second order partial differential equations and present it in the form that we can easily handle through the function spaces discussed. The book is based on variational formulation of some Boundary Value Problems (PDEs) using some known theorem (Lax-Milgram Theorem) to ascertain the existence and uniqueness of weak solution to such linear Elliptic PDEs.…
Seller Inventory # 9783659142000
- Title
- Sobolev Spaces and Elliptic Partial Differential Equations : Variational Method using Lax-Milgram Theorem
- Author
- Olaniyi Iyiola
- Publisher
- LAP Lambert Academic Publishing
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 365914200X
- ISBN 13
- 9783659142000
- Item weight
- 161 grams
- Dimensions
- 220x150x7 mm
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