In this paper, we derive bounds for the solutions of a quasilinear heat equation in a finite cylindrical region if the far end and the lateral surface are held at zero temperature, and a nonzero temperature is applied at the near end. Some continuous dependence inequalities are also obtained. We also investigate the case in which a given heat flux is prescribed at the near end, instead of a given temperature.

Continous dependance result for a class of nonlinear heat equations in a cylindrical region

PIRO, STELLA
2009

Abstract

In this paper, we derive bounds for the solutions of a quasilinear heat equation in a finite cylindrical region if the far end and the lateral surface are held at zero temperature, and a nonzero temperature is applied at the near end. Some continuous dependence inequalities are also obtained. We also investigate the case in which a given heat flux is prescribed at the near end, instead of a given temperature.
quasilinear parabolic problems; continuous dependence inequalities
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/14986
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