The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions
| Autor: | Hiroyuki Takamura, Kyouhei Wakasa, Masakazu Kato, Takuto Imai |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
35A01
Conjecture 35L71 (Primary) 35A01 35E15 (Secondary) Mathematical analysis Mathematics::Analysis of PDEs 35E15 Space (mathematics) Wave equation 35L71 Upper and lower bounds Mathematics - Analysis of PDEs semilinear wave equations FOS: Mathematics Initial value problem initial value problem lifespan two space dimensions Mathematics Analysis of PDEs (math.AP) |
| Zdroj: | Asymptotic Analysis for Nonlinear Dispersive and Wave Equations, K. Kato, T. Ogawa and T. Ozawa, eds. (Tokyo: Mathematical Society of Japan, 2019) |
| DOI: | 10.48550/arxiv.1610.05913 |
| Popis: | This paper is devoted to a proof of the conjecture in Takamura(2015) on the lower bound of the lifespan of solutions to semilinear wave equations in two space dimensions. The result is divided into two cases according to the total integral of the initial speed. Comment: 23 pages. We submit the accepted version in "Asymptotic Analysis for Nonlinear Dispersive and Wave Equations" that has fixed many typos |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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