Artículo
Quirós, F.; Rossi, J.D. "Non-simultaneous blow-up in a semilinear parabolic system" (2001) Zeitschrift fur Angewandte Mathematik und Physik. 52(2):342-346
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Abstract:
In this paper we study the possibility of non-simultaneous blow-up for positive solutions of a fully coupled system of two semilinear heat equations, ut = Δu + up11 vp12, vt = Δv + up21 vp22. Under adequate hypotheses, we prove that if u blows up then v can fail to blow up if and only if p11 > 1 and p21 < P11 - 1.
Registro:
| Documento: | Artículo |
| Título: | Non-simultaneous blow-up in a semilinear parabolic system |
| Autor: | Quirós, F.; Rossi, J.D. |
| Filiación: | Departamento de Matemáticas, U. Autónoma de Madrid, 28049 Madrid, Spain Departamento de Matemática, F.C.E y N., UBA, 1428 Buenos Aires, Argentina |
| Palabras clave: | Blow-up; Semilinear parabolic system |
| Año: | 2001 |
| Volumen: | 52 |
| Número: | 2 |
| Página de inicio: | 342 |
| Página de fin: | 346 |
| DOI: | http://dx.doi.org/10.1007/PL00001549 |
| Título revista: | Zeitschrift fur Angewandte Mathematik und Physik |
| Título revista abreviado: | Z. Angew. Math. Phys. |
| ISSN: | 00442275 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v52_n2_p342_Quiros |
Referencias:
- Escobedo, M., Levine, H.A., Critical blow-up and global existence numbers for a weakly coupled system of reaction-diffusion equations (1995) Arch. Rational Mech. Anal., 129, pp. 47-100
- Friedman, A., (1964) Partial Differential Equations of Parabolic Type, , Prentice-Hall, Englewood Cliffs, NJ
- Friedman, A., MacLeod, J.B., Blow-up of positive solutions of semilinear heat equations (1985) Indiana Univ. Math. J., 34, pp. 425-447
- Giga, Y., Kohn, R.V., Characterizing blow-up using similarity variables (1987) Indiana Univ. Math. J., 36, pp. 1-40
- Herrero, M.A., Velázquez, J.J.L., Explosion de solutions d'équations paraboliques semilinéaires supercritiques (1994) C. R. Acad. Sci. Paris Sér. I Math., 319, pp. 141-145
- Merle, F., Zaag, H., Optimal estimates for blow-up rate and behavior for nonlinear heat equations (1998) Comm. Pure Appl. Math., 51, pp. 139-196
- Quirós, F., Rossi, J.D., (1999) Non-simultaneous Blow-up in a Nonlinear Parabolic System, , Preprint
- Weissler, F.B., An L∞ blow-up estimate for a nonlinear heat equation (1985) Comm. Pure Appl. Math., 38, pp. 291-295
Citas:
---------- APA ----------
Quirós, F. & Rossi, J.D. (2001) . Non-simultaneous blow-up in a semilinear parabolic system. Zeitschrift fur Angewandte Mathematik und Physik, 52(2), 342-346.http://dx.doi.org/10.1007/PL00001549
---------- CHICAGO ----------
Quirós, F., Rossi, J.D. "Non-simultaneous blow-up in a semilinear parabolic system" . Zeitschrift fur Angewandte Mathematik und Physik 52, no. 2 (2001) : 342-346.http://dx.doi.org/10.1007/PL00001549
---------- MLA ----------
Quirós, F., Rossi, J.D. "Non-simultaneous blow-up in a semilinear parabolic system" . Zeitschrift fur Angewandte Mathematik und Physik, vol. 52, no. 2, 2001, pp. 342-346.http://dx.doi.org/10.1007/PL00001549
---------- VANCOUVER ----------
Quirós, F., Rossi, J.D. Non-simultaneous blow-up in a semilinear parabolic system. Z. Angew. Math. Phys. 2001;52(2):342-346.http://dx.doi.org/10.1007/PL00001549
