کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610811 | 1338586 | 2013 | 48 صفحه PDF | دانلود رایگان |
We study the fully nonlinear parabolic equationF(D2um)−ut=0in Ω×(0,+∞),m⩾1, with the Dirichlet boundary condition and positive initial data in a smooth bounded domain Ω⊂RnΩ⊂Rn, provided that the operator F is uniformly elliptic and positively homogeneous of order one. We prove that the renormalized limit of parabolic flow u(x,t)u(x,t) as t→+∞t→+∞ is the corresponding positive eigenfunction which solvesF(D2φ)+μφp=0in Ω, where 0
Journal: Journal of Differential Equations - Volume 254, Issue 8, 15 April 2013, Pages 3259–3306