Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux
نویسندگان
چکیده
This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions. Moreover, an upper bound for the ‘blow-up time’, an upper estimate of the ‘blow-up rate’ and an upper estimate of the global solution are given. Finally, some application examples are presented. MSC: 35R45; 35K65; 34A12
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