论文标题
4-D Fujita方程的更高速度II爆炸
A higher speed type II blow-up for the 4-d Fujita equation
论文作者
论文摘要
本文涉及4维能量临界热方程的爆炸解决方案$ u_t =ΔU + u^3 $。 Our main result is to show that the existence of type II blowup solutions, and $\|u(\cdot,t)\|_\infty\sim(T-t)^{-k}|ln(T-t)|^{\frac{2k}{2k-1}}, (k=1,2,3\cdots)$.The inner-outer gluing method has been employed.
This paper is concerned with blow-up solutions of the 4-dimensional energy critical heat equation $u_t=Δu + u^3$. Our main result is to show that the existence of type II blowup solutions, and $\|u(\cdot,t)\|_\infty\sim(T-t)^{-k}|ln(T-t)|^{\frac{2k}{2k-1}}, (k=1,2,3\cdots)$.The inner-outer gluing method has been employed.
