Approximations of the operator exponential in a periodic diffusion problem with drift

Approximations of the operator exponential in a periodic diffusion problem with drift

A Cauchy problem for a parabolic diffusion equation with 1-periodic coefficients containing first order terms is studied. For the corresponding semigroup we construct approximations in the -operator norm on sections of order as for or . The spectral method based on the Bloch representation of an ope...

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Veröffentlicht in:Sbornik. Mathematics 2013-01, Vol.204 (2), p.280-306
1. Verfasser: Pastukhova, S. E.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
APPROXIMATIONS
Bloch decomposition of functions
CAUCHY PROBLEM
Diffusion
DIFFUSION EQUATIONS
diffusion with drift
homogenization
Infinity
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
Norms
operator exponential
PARABOLAS
PERIODICITY
Representations
spectral method
Spectral methods
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Beschreibung
Zusammenfassung:A Cauchy problem for a parabolic diffusion equation with 1-periodic coefficients containing first order terms is studied. For the corresponding semigroup we construct approximations in the -operator norm on sections of order as for or . The spectral method based on the Bloch representation of an operator with periodic coefficients is used. Bibliography: 25 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2013v204n02ABEH004301