Analytic semigroups and optimal regularity in parabolic problems /
The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several o...
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| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser,
1995
Basel ; Boston : Birkhäuser, 1995 Basel ; New York : c1995 Basel ; Boston : 1995 |
| Series: | Progress in nonlinear differential equations and their applications ;
v. 16 Progress in nonlinear differential equations and their applications v. 16 Modern Birkhäuser classics Progress in nonlinear differential equations and their applications ; v. 16 |
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| Summary: | The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived. The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques |
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| Item Description: | Originally published: Basel : Springer, 1995 This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC "Originally published as Volume 16 in the Progress in Nonlinear Differential Equations and Their Applications series."--T.p. verso "Reprint of the 1995 edition"--T.p |
| Physical Description: | xvii, 424 p. : ill. ; 24 cm xvii, 424 p. ; 24 cm xvii, 424 pages ; 24 cm |
| Bibliography: | Includes bibliographical references (p. 411-422) and index Includes bibliographical references (pages 411-422) and index |
| ISBN: | 0817651721 (acid-free paper) 0817651721 303480556X 3764351721 (acid-free paper) 3764351721 9780817651725 9783034805568 9783764351724 |