Artículo
Cortazar, C.; Elgueta, M.; Rossi, J.D. "Short time behavior near the boundary for the heat equation with a nonlinear boundary condition" (2002) Nonlinear Analysis, Theory, Methods and Applications. 50(2):205-213
Consulte la política de Acceso Abierto del editor
Abstract:
The short time behavior near the boundary for the heat equation with a nonlinear boundary condition was discussed. The small time behavior near the boundary in a problem with a non compatibility between a zero Dirichlet boundary condition and the initial data was characterized. The results showed that for a given φ, a smooth positive function, u, another function, grows fastest for small times near points of the boundary where the mean curvature was maximized.
Registro:
| Documento: | Artículo |
| Título: | Short time behavior near the boundary for the heat equation with a nonlinear boundary condition |
| Autor: | Cortazar, C.; Elgueta, M.; Rossi, J.D. |
| Filiación: | Facultad De Matematicas, Universidad Catolica, Casilla 306 Correo 22, Santiago, Chile Departamento De Matemática, F.C.E Y N., Universidad De Buenos Aires (UBA), 1428 Buenos Aires, Argentina |
| Palabras clave: | Boundary conditions; Functions; Initial value problems; Partial differential equations; Nonlinear boundary conditions; Nonlinear equations |
| Año: | 2002 |
| Volumen: | 50 |
| Número: | 2 |
| Página de inicio: | 205 |
| Página de fin: | 213 |
| DOI: | http://dx.doi.org/10.1016/S0362-546X(01)00746-5 |
| Título revista: | Nonlinear Analysis, Theory, Methods and Applications |
| Título revista abreviado: | Nonlinear Anal Theory Methods Appl |
| ISSN: | 0362546X |
| CODEN: | NOAND |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v50_n2_p205_Cortazar |
Referencias:
- Amann, H., Parabolic evolution equations and nonlinear boundary conditions (1988) J. Differential Equations, 72, pp. 201-269
- Chipot, M., Fila, M., Quittner, P., Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions (1991) Acta Math. Univ. Comenianae, 60 (1), pp. 35-103
- Cortazar, C., Del Pino, M., Elgueta, M., On the short-time behavior of the free boundary of a porous medium equation (1997) Duke J. Math., 87 (1), pp. 133-149
- Fila, M., Souplet, Ph., Weissler, F.B., Linear and nonlinear heat equations in Lδ q spaces and universal bounds for global solutions (2000) Math. Ann., , preprint Univ. de Versailles - Saint Quentin 40, to appear
- Lopez Gomez, J., Marquez, V., Wolanski, N., Blow-up results and localization of blow-up points for the heat equation with a nonlinear boundary condition (1991) J. Differential Equations, 92 (2), pp. 384-401
- Martel, Y., Souplet, Ph., Estimations optimales en temps petit et près de la frontière pour les solutions de lèquation de la chaleur aver donnèes non compatibles (1998) C.R. Acad. Sci. Paris, Sèrie I, 327, pp. 575-580
- Martel, Y., Souplet, Ph., Small time boundary behaviour for parabolic equations with noncompatible data (2000) J. Math. Pures Appl., 79, pp. 603-632
Citas:
---------- APA ----------
Cortazar, C., Elgueta, M. & Rossi, J.D. (2002) . Short time behavior near the boundary for the heat equation with a nonlinear boundary condition. Nonlinear Analysis, Theory, Methods and Applications, 50(2), 205-213.http://dx.doi.org/10.1016/S0362-546X(01)00746-5
---------- CHICAGO ----------
Cortazar, C., Elgueta, M., Rossi, J.D. "Short time behavior near the boundary for the heat equation with a nonlinear boundary condition" . Nonlinear Analysis, Theory, Methods and Applications 50, no. 2 (2002) : 205-213.http://dx.doi.org/10.1016/S0362-546X(01)00746-5
---------- MLA ----------
Cortazar, C., Elgueta, M., Rossi, J.D. "Short time behavior near the boundary for the heat equation with a nonlinear boundary condition" . Nonlinear Analysis, Theory, Methods and Applications, vol. 50, no. 2, 2002, pp. 205-213.http://dx.doi.org/10.1016/S0362-546X(01)00746-5
---------- VANCOUVER ----------
Cortazar, C., Elgueta, M., Rossi, J.D. Short time behavior near the boundary for the heat equation with a nonlinear boundary condition. Nonlinear Anal Theory Methods Appl. 2002;50(2):205-213.http://dx.doi.org/10.1016/S0362-546X(01)00746-5
