Artículo Original
Publicado 1999-04-15
Cómo citar
Lamos, H., & Orellana H., Y. (1999). Identificación de un coeficiente para un modelo de sorción dinámica. Revista Integración, Temas De matemáticas, 17(1), 49–64. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/878
Resumen
Los problemas inversos para ecuaciones diferenciales no lineales aparecen en diferentes campos de la ciencia, como por ejemplo en la transferencia de calor, en físico-química, física del plasma e hidrología. Este trabajo está dedicado a la demostración del teorema de unicidad de la solución de un problema de identificación.
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Referencias
[1]Cannon J.R., Du Chatean P. “An inverse problem for an unknown source ina heat equation”.J. of Math. Anal. and App., 1980, (75), 465–485.
[2]Cannon J.R., Du Chatean P. “An inverse problem for a nonlinear diffusionequations”.SIAM J. Appl. Math., 1980, (39),272–289.
[3]Anger G.Inverse Problems in Differential Equations. Akademie–Verlag, Berlin,1990. Plenum Press.
[4]Denisov A. M.,Local and global uniqueness of solution to the problem of deter-mining a nonlinear coefficient in a system of partial differential equations.SiberianMathematical Journal. 1995,v. 36(1), p. 55–65.
[5]Lorenzi A. “An inverse problem for a semilinear parabolic equation”.Annali deMat. Pura ed Applicata, 1982,v. 31, p. 145–166.
[6]Lamos H., Denisov A. M.An inverse problem for a nonlinear mathematical model of sorption dynamics with mixed-diffusional kinetics.J. Inv ill–posed prob-lems, 1996,v. 4(3), p. 191–202.
[7]Lamos H. “Numerical solution of the inverse problem for a nolinear mathematical model of sorption dynamics with mixed–diffusional kinetics”.Inverse and Ill–Posed Problems(Abstracts of International conference dedicated to the memoryof academician A. N. Tikhonov). Moscow, 1996, 113.
[8]Denisov A.M. and Lamos H. “The problem of determinig the kinetic Coeffi-cient in mathematical model of sorption dynamics”.Computational Mathematicsand Modeling, 1999,v. 10(3), p. 207–213
[2]Cannon J.R., Du Chatean P. “An inverse problem for a nonlinear diffusionequations”.SIAM J. Appl. Math., 1980, (39),272–289.
[3]Anger G.Inverse Problems in Differential Equations. Akademie–Verlag, Berlin,1990. Plenum Press.
[4]Denisov A. M.,Local and global uniqueness of solution to the problem of deter-mining a nonlinear coefficient in a system of partial differential equations.SiberianMathematical Journal. 1995,v. 36(1), p. 55–65.
[5]Lorenzi A. “An inverse problem for a semilinear parabolic equation”.Annali deMat. Pura ed Applicata, 1982,v. 31, p. 145–166.
[6]Lamos H., Denisov A. M.An inverse problem for a nonlinear mathematical model of sorption dynamics with mixed-diffusional kinetics.J. Inv ill–posed prob-lems, 1996,v. 4(3), p. 191–202.
[7]Lamos H. “Numerical solution of the inverse problem for a nolinear mathematical model of sorption dynamics with mixed–diffusional kinetics”.Inverse and Ill–Posed Problems(Abstracts of International conference dedicated to the memoryof academician A. N. Tikhonov). Moscow, 1996, 113.
[8]Denisov A.M. and Lamos H. “The problem of determinig the kinetic Coeffi-cient in mathematical model of sorption dynamics”.Computational Mathematicsand Modeling, 1999,v. 10(3), p. 207–213