This article mainly considers the blow up phenomenon of the solution to the wave-hartree equation utt-△u=(|x|-4 *|u|2)u in the energy space for high dimensions d ≥ 5. The main result of this article is that:if the initial data (u0, u1) satisfy the conditions E(u0, u1) < E(W, 0) and||▽u0||22 >||▽W||22 for some ground state W, then the corresponding solution must blows up in finite time.
Suxia XIA
. ON BLOW-UP PHENOMENON OF THE SOLUTION TO SOME WAVE-HARTREE EQUATION IN d ≥ 5[J]. Acta mathematica scientia, Series B, 2020
, 40(3)
: 782
-794
.
DOI: 10.1007/s10473-020-0313-4
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