In this manuscript, a sharp lifespan estimate of solutions to semi- linear classical damped wave equation is investigated in one dimensional case when the sum of initial position and speed is 0 pointwisely. Especially, an extension of lifespan is shown in this case. Moreover, existence of some global solutions are obtained by a direct computation.
On Extended Lifespan for 1D Damped Wave Equation
Kazumasa Fujiwara
;Vladimir Georgiev
2025-01-01
Abstract
In this manuscript, a sharp lifespan estimate of solutions to semi- linear classical damped wave equation is investigated in one dimensional case when the sum of initial position and speed is 0 pointwisely. Especially, an extension of lifespan is shown in this case. Moreover, existence of some global solutions are obtained by a direct computation.File in questo prodotto:
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