On extended lifespan for 1d damped wave equation
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 glob...
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| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
28-12-2022
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2212.13845 |