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Critical global asymptotics in higher‐order semilinear parabolicequations

Critical global asymptotics in higher‐order semilinear parabolicequations

We consider a higher‐order semilinear parabolic equation u t = −(− Δ ) m u − g ( x , u ) in ℝ N × ℝ + , m > 1. The nonlinear term is homogeneous: g ( x , s u ) ≡ | s | p −1 …