Construction of blow-up solution for 5 dimentional critical fujita type equation with different blow-up speed

Published 10 Aug 2020 in math.AP | (2008.03890v1)

Abstract: We are concerned with blow-up solutions of the 5-dimensional energy critical heat equation $u_t=\Delta u + | u |^{{\frac{4}{3}}u$.} Our main result is to show that the existence of type 2 solutions blows up at 2 points with 2 different blow-up rates. The inner-outer gluing method has been employed.

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