Blow-up of Solutions of a Class of Nonlinear Parabolic Equations

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Abstract

In this paper we give a detailed discussion about the effect of quantitative relation between p and m on the properties of the solutions to nonlinear parabolic equation u_t - (u^mu_x)_x = u^p.

Keywords:

Global solution; local solution; blow up; blow-up set
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Blow-up of Solutions of a Class of Nonlinear Parabolic Equations. (1991). Journal of Partial Differential Equations, 4(3), 35-50. https://www.global-sci.com/index.php/jpde/article/view/3685