Nonlinear differential equations of monotone types in Banach spaces

✍ Scribed by Viorel Barbu (auth.)

• Publisher: Springer-Verlag New York
• Year: 2010
• Tongue: English
• Leaves: 282
• Series: Springer Monographs in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type.

This is a monograph about the most significant results obtained in this area in last decades but is also written as a graduate textbook on modern methods in partial differential equations with main emphasis on applications to fundamental mathematical models of mathematical physics, fluid dynamics and mechanics.

This book is selfcontained while the prerequisites in functional analysis are necessary to understand as it is being presented in a preliminary chapter. An up-to-date list of references and extended comments are included.

✦ Table of Contents

Front Matter....Pages I-X
Fundamental Functional Analysis....Pages 1-26
Maximal Monotone Operators in Banach Spaces....Pages 27-96
Accretive Nonlinear Operators in Banach Spaces....Pages 97-126
The Cauchy Problem in Banach Spaces....Pages 127-192
Existence Theory of Nonlinear Dissipative Dynamics....Pages 193-270
Back Matter....Pages 271-272

✦ Subjects

Partial Differential Equations; Analysis