Sharp lifespan estimates for the weakly coupled system of semilinear damped wave equations in the critical case
Author:
Funder
Simons Foundation
China Postdoctoral Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00208-021-02335-y.pdf
Reference43 articles.
1. Aoyagi, Y., Tsutaya, K., Yamauchi, Y.: Global existence of solutions for a reaction–diffusion system. Differ. Integral Equ. 20, 1321–1339 (2007)
2. Baras, P., Pierre, M.: Critère d’existence de solutions positives pour des équations semi-linéaires non monotones. Ann. Inst. H. Poincaré Anal. Non Linéaire 2, 185–212 (1985)
3. Chen, W., Palmieri, A.: Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part. Z. Angew. Math. Phys. 70, 67 (2019)
4. D’Abbicco, M.: A benefit from the $$L^{\infty }$$ smallness of initial data for the semilinear wave equation with structural damping. In: Current Trends in Analysis and Its Applications. Trends in Mathematics. Birkhäuser/Springer, Cham, pp 209–216 (2015)
5. Dao, T.A.: Global existence of solutions for weakly coupled systems of semi-linear structurally damped $$\sigma $$-evolution models. Appl. Anal. (2020). https://doi.org/10.1080/00036811.2020.1781825
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