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We bound the blow-up rate from below, for bounded and unbounded domains. If the blow-up occurs on the boundary, the blow-up rate is proved to grow faster than T - t - 1the expected one. Moreover, we show that blow-up cannot occur on the boundary, under certain geometric conditions on the domain.
Alexander Gladkov. Fund Project: This work is supported by the state program of fundamental research of Belarus, grant 1. In this paper, we consider a semilinear parabolic equation with nonlinear nonlocal Neumann boundary condition and nonnegative initial datum.
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Home Volumes About submit Editorial Board. References G. Akagi, Local existence of solutions to some degenerate parabolic equation associated with the p-Laplacian, J.
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Boundary Value Problems. DecemberCite as. And we further study the limiting profile of blow-up solutions.