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Referencias:

• Biewer, D.M., Blowup rate of the solution of a general parabolic equation with a nonlinear boundary condition (1996) Diss. Summ. Math., 1, pp. 105-111
• 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. Comenian. (N.S.), 60, pp. 35-103
• Chlebík, M., Fila, M., Some recent results on the blow-up on the boundary for the heat equation (2000) Banach Center Publ., 52, pp. 61-71. , Polish Acad. Sci., Inst. of Math., Warsaw
• Deng, K., Levine, H.A., The role of critical exponents in blow-up theorems: The sequel (2000) J. Math. Anal. Appl., 243, pp. 85-126
• Ferreira, R., de Pablo, A., Vázquez, J.L., Classification of blow-up with nonlinear diffusion and localized reaction (2006) J. Differential Equations, 231, pp. 195-211
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• Fila, M., Filo, J., Blow-up on the boundary: A survey (1996) Banach Center Publ., 33, pp. 67-78. , Singularities and Differential Equations. Janeczko S., et al. (Ed), Polish Acad. Sci., Inst. of Math., Warsaw
• Galaktionov, V.A., Levine, H.A., On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary (1996) Israel J. Math., 94, pp. 125-146
• Galaktionov, V.A., Vazquez, J.L., Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations (1996) J. Differential Equations, 127 (1), pp. 1-40
• Giga, Y., Kohn, R.V., Characterizing blowup using similarity variables (1987) Indiana Univ. Math. J., 36, pp. 1-40
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• López-Gómez, J., Márquez, V., Wolanski, N., Global behaviour of positive solutions to a semilinear equation with a nonlinear flux condition (1991) IMA Preprint Series, 810
• Martinson, L.K., Pavlov, K.B., On the problem of spatial localization of thermal perturbations in the theory of nonlinear heat conduction (1972) Zh. Vychisl. Mat. i Mat. Fiz., 12, pp. 1048-1052. , English transl.:
• Martinson, L.K., Pavlov, K.B., On the problem of spatial localization of thermal perturbations in the theory of nonlinear heat conduction (1972) USSR Comput. Math. Math. Phys., 12, pp. 261-268
• Rodríguez-Bernal, A., Tajdine, A., Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up (2001) J. Differential Equations, 169, pp. 332-372. , Special Issue in Celebration of Jack K. Hale's 70th Birthday, part 4. Atlanta, GA/Lisbon, 1998
• Sabinina, E.S., On a class of quasilinear parabolic equations, not solvable for the time derivative (1965) Sibirsk. Mat. Ž., 6, pp. 1074-1100. , (in Russian)
• 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; Walter, W., On existence and nonexistence in the large of solutions of parabolic differential equations with a nonlinear boundary condition (1975) SIAM J. Math. Anal., 6, pp. 85-90

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