Evolution Equations And Approximations (SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES, Band 61) - Hardcover

Ito, Kazufumi; Kappel, Franz

Hardcover

ISBN 10: 9812380264 ISBN 13: 9789812380265

Verlag: World Scientific Publishing Co Pte Ltd, 2002

Inhaltsangabe

This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and the Lie-Trotter type product formula give a mathematical framework for the convergence analysis of numerical approximations of solutions to a general class of partial differential equations. This book contains examples demonstrating the applicability of the generation as well as the approximation theory.In addition, the Kobayashi-Oharu approach of locally quasi-dissipative operators is discussed for homogeneous as well as nonhomogeneous equations. Applications to the delay differential equations, Navier-Stokes equation and scalar conservation equation are given.

Details zur Ausgabe

• Verlag: World Scientific Publishing Co Pte Ltd
• Erscheinungsdatum: 2002
• Sprache: Englisch
• ISBN 10: 9812380264
• ISBN 13: 9789812380265
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 520
• Kontakt zum Hersteller: World Scientific Publishing; https://www.worldscientific.com/; ; 5 Toh Tuck Link; #01-01; 596224; Singapur
• Verantwortliche Person: Nicht verfügbar