Artículo
Bogoya, M.; Ferreira, R.; Rossi, J.D. "A nonlocal nonlinear diffusion equation with blowing up boundary conditions" (2008) Journal of Mathematical Analysis and Applications. 337(2):1284-1294
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Abstract:
We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness and the validity of a comparison principle for these problems. Next, we impose boundary data that blow up in finite time and study the behavior of the solutions. © 2007.
Registro:
| Documento: | Artículo |
| Título: | A nonlocal nonlinear diffusion equation with blowing up boundary conditions |
| Autor: | Bogoya, M.; Ferreira, R.; Rossi, J.D. |
| Filiación: | Departamento de Matemática, Universidad Católica de Chile, Santiago, Chile Departamento de Matemática, Universidad Nacional de Colombia, Bogotá, Colombia Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040, Spain Departamento Matematica, FCEyN, UBA, Buenos Aires, Argentina |
| Palabras clave: | Neumann boundary conditions; Nonlocal diffusion |
| Año: | 2008 |
| Volumen: | 337 |
| Número: | 2 |
| Página de inicio: | 1284 |
| Página de fin: | 1294 |
| DOI: | http://dx.doi.org/10.1016/j.jmaa.2007.04.049 |
| Título revista: | Journal of Mathematical Analysis and Applications |
| Título revista abreviado: | J. Math. Anal. Appl. |
| ISSN: | 0022247X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v337_n2_p1284_Bogoya.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v337_n2_p1284_Bogoya |
Referencias:
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- Galaktionov, V.A., Vázquez, J.L., The problem of blow-up in nonlinear parabolic equations (2002) Discrete Contin. Dyn. Syst., 8 (2), pp. 399-433
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- Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., Mikhailov, A.P., (1987) Blow-Up in Problems for Quasilinear Parabolic Equations, , Nauka, Moscow (in Russian); English transl.:
- Samarskii, A.A., Galaktionov, V.A., Kurdyumov, S.P., Mikhailov, A.P., (1995), Walter de Gruyter, Berlin; Vazquez, J.L., An introduction to the mathematical theory of the porous medium equation (1992) Shape Optimization and Free Boundaries, pp. 347-389. , Delfour M.C. (Ed), Dordrecht, Boston and Leiden
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Citas:
---------- APA ----------
Bogoya, M., Ferreira, R. & Rossi, J.D. (2008) . A nonlocal nonlinear diffusion equation with blowing up boundary conditions. Journal of Mathematical Analysis and Applications, 337(2), 1284-1294.http://dx.doi.org/10.1016/j.jmaa.2007.04.049
---------- CHICAGO ----------
Bogoya, M., Ferreira, R., Rossi, J.D. "A nonlocal nonlinear diffusion equation with blowing up boundary conditions" . Journal of Mathematical Analysis and Applications 337, no. 2 (2008) : 1284-1294.http://dx.doi.org/10.1016/j.jmaa.2007.04.049
---------- MLA ----------
Bogoya, M., Ferreira, R., Rossi, J.D. "A nonlocal nonlinear diffusion equation with blowing up boundary conditions" . Journal of Mathematical Analysis and Applications, vol. 337, no. 2, 2008, pp. 1284-1294.http://dx.doi.org/10.1016/j.jmaa.2007.04.049
---------- VANCOUVER ----------
Bogoya, M., Ferreira, R., Rossi, J.D. A nonlocal nonlinear diffusion equation with blowing up boundary conditions. J. Math. Anal. Appl. 2008;337(2):1284-1294.http://dx.doi.org/10.1016/j.jmaa.2007.04.049
