Linear and Quasilinear Parabolic Problemsкнига
Аннотация: In the first volume we give a thorough discussion of linear parabolic evolution equations in general Banach spaces.This is the abstract basis for the nonlinear theory.The second volume is devoted to concrete realizations of linear parabolic evolution equations by general parabolic systems.There we discuss the various function spaces that are needed and useful, and the generation of analytic semigroups by general elliptic boundary value problems.The last volume contains the abstract nonlinear theory as well as various applications to concrete systems, illustrating the scope and the flexibility of the general results.Of course, each one of the three volumes contains much material of independent interest related to our main subject.In writing this book I had help from many friends, collegues, and students.It is a pleasure to thank all of them, named or unnamed.I am particularly indebted to P. Quittner and G. Simonett, who critically and very carefully read, not only the whole manuscript of this first volume but also many earlier versions that were produced over the years and will never be published, and pointed out numerous mistakes and improvements.Large parts of the first volume, and of earlier versions as well, were also read and commented on by D. Daners, J. Escher, and P
Год издания: 1995
Авторы: Herbert Amann
Источник: Birkhäuser Basel eBooks
Ключевые слова: Differential Equations and Numerical Methods, Advanced Mathematical Modeling in Engineering, Differential Equations and Boundary Problems
Другие ссылки: Birkhäuser Basel eBooks (HTML)
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) (PDF)
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) (HTML)
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) (PDF)
Library Union Catalog of Bavaria, Berlin and Brandenburg (B3Kat Repository) (HTML)
Открытый доступ: green