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 |
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| container_title | Sbornik. Mathematics |
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| creator | Pastukhova, S. E. |
| description | 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. |
| doi_str_mv | 10.1070/SM2013v204n02ABEH004301 |
| format | Article |
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E.</creator><creatorcontrib>Pastukhova, S. E.</creatorcontrib><description>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. 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| ispartof | Sbornik. Mathematics, 2013-01, Vol.204 (2), p.280-306 |
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| language | eng |
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| source | IOP Publishing Journals; Alma/SFX Local Collection |
| subjects | 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 |
| title | Approximations of the operator exponential in a periodic diffusion problem with drift |
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