Analytic semigroups and optimal regularity in parabolic problems / Alessandra Lunardi.

Format:

Book

Author/Creator:

Lunardi, Alessandra, 1958-

Series:

Progress in nonlinear differential equations and their applications ; v. 16.

Progress in nonlinear differential equations and their applications ; v. 16

Language:

English

Subjects (All):

Differential equations, Parabolic.

Semigroups.

Physical Description:

xvii, 424 pages ; 24 cm.

Place of Publication:

Basel ; Boston : Birkhäuser, 1995.

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.

Notes:

Includes bibliographical references (pages 411-422) and index.

ISBN:

3764351721

0817651721

OCLC:

31783118