Bounds on Blow-Up Time for a Higher-Order Non-Newtonian Filtration Equation
Bui Le Trong Thanh, Nguyễn Ngọc Trọng, Tan Duc · Mathematica Slovaca · 2023
ABSTRACT Let d ∈ {1, 2, 3, . . .} and Ω ⊂ ℝ d be open bounded with Lipschitz boundary. Consider the reaction-diffusion parabolic problem P { u t | x | 4 + Δ ( | Δ u | m − 2 Δ u ) = k ( t ) | u | p − 1 u ( x , t ) ∈ Ω × ( 0 , T ) , u ( x , t ) = ∂ x j u ( x , t ) = 0 , ( x , t ) ∈ ∂ Ω × ( 0 , T ) , j ∈ { 1 , … , d } , u ( x