Year: 2001
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 2 : pp. 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].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JPDE-5473
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 2 : pp. 105–110
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Wave equation