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 agraduate textbook on modern methods in partial differential equations with main emphasis on applications to fundamental mathematical models of mathematicalphysics, fluid dynamics and mechanics. This book is selfcontained while the prerequisites in functional analysis are necessary to understand as it is beingpresented in a preliminary chapter. An up-to-date list of references and extended comments are included. INDICE: Fundamental Functional Analysis.- Maximal Monotone Operators in Banach Spaces.- Accretive Nonlinear Operators in Banach Spaces.- The Cauchy Problem in Banach Spaces.- Existence Theory of Nonlinear Dissipative Dynamics.
- ISBN: 978-1-4419-5541-8
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 270
- Fecha Publicación: 01/02/2010
- Nº Volúmenes: 1
- Idioma: Inglés