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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Nečas, Jindřich. Direct methods in the theory of elliptic equations. Heidelberg : Springer, ©2012 (DLC) 2011937623 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Jindřich Nečas; Šárka Nečasová; Christian G Simader |

ISBN: | 9783642104558 364210455X |

OCLC Number: | 757938543 |

Description: | 1 online resource (xvi, 372 pages). |

Contents: | 1. Introduction to the problem -- 2. Sobolev spaces -- 3. Exitence, Uniqueness of basic problems -- 4. Regularity of solution -- 5. Applications of Rellich{u2019}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. |

Series Title: | Springer monographs in mathematics. |

Responsibility: | Jindřich Nečas ; editorial coordination and preface by Šárka Nečasová ; and a contribution by Christian G. Simader. |

### Abstract:

This text covers the mathematical theory of linear elliptic equations and systems and the related function spaces framework. It provides an introduction to the modern theory of partial differential equations, the theory of weak solutions and related topics.
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## Reviews

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Publisher Synopsis

From the reviews: "The book includes many important results published as well as unpublished by several authors and results by J. Necas himself. In addition, there are numerous bibliographical hints and many remarks, examples, exercises and problems. ... the book continues to be one of the classics of the Sobolev space setting of linear elliptic boundary value problems. ... the now available English translation will be widely used by young researchers." (Joachim Naumann, Zentralblatt MATH, Vol. 1246, 2012) Read more...

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