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https://doi.org/10.1016/s0304-0208(08)71493-2
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Cite Journal: North-Holland Mathematics Studies |  Publication Date: Jan 1, 1984 |
 Citations: 14 |
Affiliation: Tohoku University
Abstract It is shown that a solution of quasi-linear wave equation ∂ 2 t u − Δu = (∂ t u) 2 in two space dimensions, with the initial functions of compact support, blows up in finite time. This is a complement to John's result on blow-up of solutions for ∂ 2 t u − Δu = (∂ t u) 2 in three dimensions.
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