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|Title:||Boundary blow-up solutions for logistic-type porous media equations with nonregular source|
|Source:||Li, H., Pang, P.Y.H., Wang, M. (2009-10). Boundary blow-up solutions for logistic-type porous media equations with nonregular source. Journal of the London Mathematical Society 80 (2) : 273-294. ScholarBank@NUS Repository. https://doi.org/jlms/jdp018|
|Abstract:||In this paper, we establish the existence, uniqueness and blow-up rate near the boundary of boundary blow-up solutions to the porous media equations of logistic type -Δ u = a(x)u1/m - b(x)f(u) with m > 1. We first consider the existence of such solutions for the general function f(u), and then study the uniqueness and the blow-up rate for the function f(u) whose variation at infinity is not regular. We also note the difference in the treatment of the blow-up rate for the cases where f varies regularly or not regularly at infinity. © 2009 London Mathematical Society.|
|Source Title:||Journal of the London Mathematical Society|
|Appears in Collections:||Staff Publications|
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