Abstract:We construct a finite-time blow-up solution for a class of strongly perturbed semilinear wave equation with an isolated characteristic point in one space dimension. Given any integer k ≥ 2 and ζ 0 ∈ Ê, we construct a blow-up solution with a characteristic point a, such that the asymptotic behavior of the solution near (a, T (a)) shows a decoupled sum of k solitons with alternate signs, whose centers (in the hyperbolic geometry) have ζ 0 as a center of mass, for all times. Although the result is similar to the … Show more
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