Kniha Evolution Equations And Approximations Kazufumi Ito

Evolution Equations And Approximations

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: 50 % šance
Prohledáme celý svět
4 467
This text presents an approximation theory for a general class of nonlinear evolution equations in B...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2002
Stránek
520
EAN
9789812380265
ISBN
9812380264
Enbook ID
05067220
Hmotnost
871
Rozměry
157 x 229 x 32

Kompletní popis

This text 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 work 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 non-homogeneous equations. Applications to the delay differential equations, Navier-Stokes equation and scalar conservation equation are given.

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