@Article{JPDE-14-2,
author = {},
title = {Blow Up in a Semilinear Wave Equation},
journal = {Journal of Partial Differential Equations},
year = {2001},
volume = {14},
number = {2},
pages = {105--110},
abstract = { We consider a semilinear wave equation of the form u_tt(x, t) - Δu(x, t) = - m(x, t)u_t(x, t) + ∇Φ(x) ⋅ ∇u(x, t ) + b(x)|u(x, t)|^{p-2}u(x, t) where p > 2. We show, under suitable conditions on m, Φ, b, that weak solutions break down in finite time if the initial energy is negative. This result improves an earlier one by the author [1].},
issn = {2079-732X},
doi = {https://doi.org/2001-JPDE-5473},
url = {https://global-sci.com/article/88640/blow-up-in-a-semilinear-wave-equation}
}