A way of estimating the convergence rate of the Fourier method for PDE of hyperbolic type.

Title:

A way of estimating the convergence rate of the Fourier method for PDE of hyperbolic type.

Creator:

Pustylnik, Evgeniy

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cffc5b08-eeba-4143-98bf-7cd1f243ccaa
uuid:cffc5b08-eeba-4143-98bf-7cd1f243ccaa

Subject:

elliptic operators, eigenfunctions, Fourier series, and hyperbolic equation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The Fourier expansion in eigenfunctions of a positive operator is studied with the help of abstract functions of this operator. The rate of convergence is estimated in terms of its eigenvalues, especially for uniform and absolute convergence. Some particular results are obtained for elliptic operators and hyperbolic equations.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

561-572

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:3

Harvested from:

CDK

Metadata only:

false