Some aspects of the Trotter-Kato theorem (Q2755709)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some aspects of the Trotter-Kato theorem |
scientific article; zbMATH DE number 1671613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some aspects of the Trotter-Kato theorem |
scientific article; zbMATH DE number 1671613 |
Statements
11 November 2001
0 references
Trotter-Kato theorem
0 references
Lax-Richtmyer theorem
0 references
projection methods
0 references
Cauchy problem
0 references
semidiscrete convergence
0 references
Some aspects of the Trotter-Kato theorem (English)
0 references
The Trotter-Kato theorem and Lax-Richtmyer type theorems are proved in the case of projection methods. The Trotter-Kato theorem is also extended to the case of a nonhomogeneous Cauchy problem, when the function \(f\in L^1(0,\infty; E)\) and semidiscrete convergence is given in the form \(\lim_{n\to\infty}\|f- f_n\|_{L^1}= 0\). Approximation in time is not considered.
0 references
