On Extended Lifespan for 1D Damped Wave Equation
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 is obtained by a direct computation.
Authors
- Kazumasa Fujiwara (ORCID: https://orcid.org/0000-0002-3796-4570)
- Vladimir Georgiev (ORCID: https://orcid.org/0000-0001-6796-7644)
Institutions
- Ryukoku University (JP)
- University of Pisa (IT)
- Waseda University (JP)
- Bulgarian Academy of Sciences (BG)
- Institute of Mathematics and Informatics (BG)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-03-30
- DOI
- https://doi.org/10.1002/mma.10919
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69