References
- Cui , ZJ . 2007 . Critical curves of the non-Newtonian polytropic filtration equations coupled with non-linear boundary conditions . Nonlinear Anal. , 68 : 3201 – 3208 .
- Jin , C and Yin , J . 2007 . Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with non-linear boundary sources . Nonlinear Anal. , 67 : 2217 – 2223 .
- Kalashnikov , AS . 1987 . Some problems of qualitative theory of non-linear degenerate parabolic equations of second order . Usp. Mat. Nauk. , 42 : 135 – 176 . English Transl. Russian Math. Surveys 42 (1987), pp. 169–222
- Li , ZP and Mu , CL . 2008 . Critical exponents for a fast diffusive non-Newtonian equation with non-linear boundary flux . J. Math. Anal. Appl , 346 : 55 – 64 .
- Vazquez , JL . 2007 . “ The Porous Medium Equations: Mathematical Theory ” . In Oxford Math. Monogr , Oxford : Oxford University Press .
- Wu , ZQ , Zhao , JN and Yin el al , JX . 2001 . Nonlinear Diffusion Equations , Singapore : World Scientific .
- Pao , CV . 1992 . Nonlinear Parabolic and Elliptic Equation , New York : Plenum .
- Samarskii , AA , Galaktionov , VA , Kurdyumov , SP and Mikhailov , AP . 1995 . Blow-up in Quasilinear Parabolic Equations , Berlin : Walter de Gruyter .
- Deng , K and Levine , HA . 2000 . The role of critical exponents in blow-up theorems: The sequel . J. Math. Anal. Appl. , 243 : 85 – 126 .
- Ferreira , R , Pablo , AD , Quiros , F and Rossi , JD . 2003 . The blow-up profile for a fast diffusion equation with a non-linear boundary condition . Rocky Mountain J. Math. , 33 : 123 – 146 .
- Fila , M and Quittner , P . 1999 . The blow-up rate for a semilinear parabolic system . J. Math. Anal. Appl. , 238 : 468 – 476 .
- Galaktionov , VA . 1994 . Blow-up for quasilinear heat equations with critical Fujita's exponents . Pro. Roy. Soc. Edinburgh Sect , A 124 : 517 – 525 .
- Galaktionov , VA and Levine , HA . 1996 . On critical Fujita exponents for heat equations with non-linear flux boundary condition on the boundary . Israel J. Math. , 94 : 125 – 146 .
- Levine , HA . 1990 . The role of critical exponents in blow up theorems . SIAM Rev. , 32 : 262 – 288 .
- Lin , ZG . 2004 . Blowup behaviours for diffusion system coupled through non-linear boundary conditions in a half space . Science in China Ser. A Math. , 47 : 72 – 82 .
- Pedersen , M and Lin , ZG . 2001 . Blow-up analysis for a system of heat equations coupled through a non-linear boundary condition . Appl. Math. Lett. , 14 : 171 – 176 .
- Wang , MX . 2003 . The blow-up rates for systems of heat equations with non-linear boundary conditions . Sci. China Ser. A Math. , 46 : 169 – 175 .
- Wang , MX . 2002 . The blow-up rate for a semilinear reaction-diffusion system . Computers Math. Appl. , 44 : 573 – 585 .
- Xiang , ZY , Chen , Q and Mu , CL . 2007 . Critical curves for degenerate parabolic equations coupled via non-linear boundary flux . Appl. Math. Comput. , 189 : 549 – 559 .