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- W2891453094 abstract "We devote to investigating the following nonlinear reaction diffusion equations with nonlocal boundary conditions{ut=∇⋅(ρ(u)∇u)+k1(t)f(u)inD×(0,t⁎),∂u∂ν=k2(t)∫Dg(u)dxon∂D×(0,t⁎),u(x,0)=u0(x)≥0inD‾, where D is a bounded convex region in Rn(n≥2), and the boundary ∂D is smooth. By constructing some auxiliary functions and using differential inequality technique, we derive that the solution blows up at some finite time. Moreover, upper and lower bounds of the blow-up time are obtained." @default.
- W2891453094 created "2018-09-27" @default.
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- W2891453094 date "2019-02-01" @default.
- W2891453094 modified "2023-10-17" @default.
- W2891453094 title "Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions" @default.
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- W2891453094 doi "https://doi.org/10.1016/j.jmaa.2018.09.021" @default.
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