On extended lifespan for 1d damped wave equation
Authors
Kazumasa Fujiwara, Vladimir Georgiev
Categories
Abstract
In this manuscript, a sharp lifespan estimate of solutions to semilinear 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
Categories
Abstract
In this manuscript, a sharp lifespan estimate of solutions to semilinear 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.
Authors
Kazumasa Fujiwara, Vladimir Georgiev
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