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Global attractor of the fractional damping wave equation on ℝ3
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-04-28 , DOI: 10.1080/00036811.2020.1757075
Yantao Guo 1 , Pengyan Ding 2
Affiliation  

ABSTRACT

The paper studies the well-posedness and the longtime behaviors of the fractional damping wave equation on R3 with critical nonlinearity, we firstly prove the well-posedness of weak solutions via an established Strichartz estimate; Secondly, by the uniformly tail estimate and the energy identity, we prove that the corresponding semigroup possesses a global attractor in the energy space H1(R3)×L2(R3).



中文翻译:

ℝ3 上分数阻尼波动方程的全局吸引子

摘要

研究了分数阶阻尼波动方程的适定性和长时行为R3对于临界非线性,我们首先通过已建立的 Strichartz 估计证明弱解的适定性;其次,通过一致尾估计和能量恒等式,我们证明了对应的半群在能量空间中具有全局吸引子H1(R3)×大号2(R3).

更新日期:2020-04-28
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