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- W2518461567 abstract "This paper is concerned with the blow-up solution of the degenerate parabolic equation with time dependent coefficients. $$u_t=varDelta u^m+f(t)u^p,$$under homogeneous Dirichlet boundary conditions, where (varOmega subset mathbb {R}^N) is a bounded domain with smooth boundary (partial varOmega ), (m>1), (pge m). Firstly, blow-up solution is established for (pge m) and furthermore, by virtue of some differential inequality, we obtain upper bound. In addition, a lower bound for the blow-up time is obtained under some appropriate hypotheses as long as blow-up occurs." @default.
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- W2518461567 date "2016-08-24" @default.
- W2518461567 modified "2023-09-24" @default.
- W2518461567 title "Upper and Lower Bounds to a Class of Degenerate Parabolic Equation with Time Dependent Coefficients" @default.
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- W2518461567 doi "https://doi.org/10.1007/978-981-10-1837-4_73" @default.
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