Artículo
Muler, N.E. "An L∞ bound for a time-discrete regularization of a forward-backward parabolic equation" (1996) Indiana University Mathematics Journal. 45(3):683-693
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Abstract:
In this paper we consider a time discrete regularization of a backward-forward parabolic equation that is not necessarily well posed. This time-discrete scheme in ℝn can be formulated as vm+1 = KΔt * vm + ΔtKΔt * ∑n i,j=1 fij(vm, x1, with fij(v, ·) constant when v is large, K a positive kernel with compact support, Ks(x) = 1/sn/2K (x/s1/2), s > 0. The result we obtain is a uniform bound for (vm)m∈ℕ independent of Δt > 0.
Registro:
| Documento: | Artículo |
| Título: | An L∞ bound for a time-discrete regularization of a forward-backward parabolic equation |
| Autor: | Muler, N.E. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de Buenos Aires, (1428) Buenos Aires, Argentina |
| Año: | 1996 |
| Volumen: | 45 |
| Número: | 3 |
| Página de inicio: | 683 |
| Página de fin: | 693 |
| Título revista: | Indiana University Mathematics Journal |
| Título revista abreviado: | Indiana Univ. Math. J. |
| ISSN: | 00222518 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v45_n3_p683_Muler |
Referencias:
- Caffarelli, L.A., Muler, N.E., An L∞ bound for solutions of the Cahn-Hilliard equation (1995) Arch. Rational Mech. Anal., 133, pp. 129-144
- Cahn, J.W., On spinodal decomposition (1961) Acta Metall., 9, pp. 795-801
- Durrett, R., (1991) Probability, Theory and Examples, , Wadsworth and Brooks
- Feller, W., (1968) An Introduction to Probability Theory and Its Applications, , John Wiley
- Hollig, K., Nohel, J., A diffusion equation with a nonmonotone constitutive function (1983) System of Nonlinear Partial Differential Equations, pp. 409-422
- Pego, R.L., Front migration in the nonlinear Cahn-Hilliard equation (1989) Proc. R. Soc. London, 422, pp. 261-278
- Slemrod, M., Dynamics of measured value solutions to a backward-forward heat equation (1991) J. Dynamics and Differential Equations, 3, pp. 1-28
Citas:
---------- APA ----------
(1996) . An L∞ bound for a time-discrete regularization of a forward-backward parabolic equation. Indiana University Mathematics Journal, 45(3), 683-693.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v45_n3_p683_Muler [ ]
---------- CHICAGO ----------
Muler, N.E. "An L∞ bound for a time-discrete regularization of a forward-backward parabolic equation" . Indiana University Mathematics Journal 45, no. 3 (1996) : 683-693.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v45_n3_p683_Muler [ ]
---------- MLA ----------
Muler, N.E. "An L∞ bound for a time-discrete regularization of a forward-backward parabolic equation" . Indiana University Mathematics Journal, vol. 45, no. 3, 1996, pp. 683-693.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v45_n3_p683_Muler [ ]
---------- VANCOUVER ----------
Muler, N.E. An L∞ bound for a time-discrete regularization of a forward-backward parabolic equation. Indiana Univ. Math. J. 1996;45(3):683-693.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v45_n3_p683_Muler [ ]
