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arXiv · 1910.08870

Critical behavior for a semilinear parabolic equation with forcing term depending of time and space

Mohamed Jleli·Tatsuki Kawakami·Bessem Samet
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Abstract

We investigate the large-time behavior of the sign-changing solution of the inhomogeneous semilinear heat equation with a forcing term depending of time and space. we identify the critical exponent for this problem, which separates the nonexistence/existence of global-in-time solutions, and show the discontinuity of this critical exponent at the point which the inhomogeneous term becomes independent of time variable.

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Mohamed Jleli, Tatsuki Kawakami, Bessem Samet. 2019-10-20. Critical behavior for a semilinear parabolic equation with forcing term depending of time and space. https://arxiv.org/abs/1910.08870

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