Existence of multi-bubble infinite-time blow-up solutions for the 5D energy-critical wave equation with rates c_k t^{-2} depending on inter-point distances.
A higher speed type II blowup for the five dimensional energy critical heat equation
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abstract
This paper is concerned with blow-up solutions of the five dimensional energy critical heat equation $u_t=\Delta u+|u|^\frac{4}{3}u$. A goal of this paper is to show the existence of type II blowup solutions which behave as $\|u(t)\|_\infty\sim(T-t)^{-3k}$ ($k=2,3,\cdots$). Our solutions are the same one formally derived by Filippas, Herrero and Vel\'azquez \cite{Filippas}.
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2019 1verdicts
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Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5
Existence of multi-bubble infinite-time blow-up solutions for the 5D energy-critical wave equation with rates c_k t^{-2} depending on inter-point distances.