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Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators

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We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators.… Click to show full abstract

We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators. We introduce a new method to simplify the nonlinear parabolic system into a scalar nonlinear parabolic inequality and investigate qualitative properties of the blow-up set.

Keywords: solutions nonlinear; blowing solutions; parabolic systems; nonlinear parabolic; unequal elliptic; elliptic operators

Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2019

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