Scattering and asymptotic order for the wave equations with the scale-invariant damping and mass

被引：0
|
作者：
Takahisa Inui
Haruya Mizutani
机构：
[1] Osaka University,Department of Mathematics, Graduate School of Science
来源：
Nonlinear Differential Equations and Applications NoDEA | 2021年 / 28卷
关键词：
Wave equation; Scale-invariant damping; Scattering; Energy critical nonlinearity; Strichartz estimates; 35L05; 35B40; 35L70; etc;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the linear wave equation with the time-dependent scale-invariant damping and mass. We also treat the corresponding equation with the energy critical nonlinearity. Our aim is to show that the solution scatters to a modified linear wave solution and to obtain its asymptotic order.
引用
收藏
相关论文
共 50 条
  • [21] Scale-invariant Controller Synthesis in Mass Chains
    Yamamoto, Kaoru
    IFAC PAPERSONLINE, 2021, 54 (09): : 78 - 83
  • [22] Scale-invariant solutions to partial differential equations of fractional order with a moving boundary condition
    Li, Xicheng
    Xu, Mingyu
    Wang, Shaowei
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (15)
  • [23] Scale-invariant asymptotic (automodel) behavior in quantum field theory
    Vladimirov, V. S.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2012, 170 (01) : 97 - 99
  • [24] Scale-invariant asymptotic (automodel) behavior in quantum field theory
    V. S. Vladimirov
    Theoretical and Mathematical Physics, 2012, 170 : 97 - 99
  • [25] Asymptotic behavior of solutions to a class of nonlinear wave equations of sixth order with damping
    Wang, Yu-Zhu
    Wang, Yinxia
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) : 1922 - 1936
  • [26] A SCALE-INVARIANT HIGH-ORDER WCNS SCHEME
    Zhang Z.
    Dong Y.
    Huang Z.
    Kong L.
    Liu W.
    Lixue Xuebao/Chinese Journal of Theoretical and Applied Mechanics, 2023, 55 (01): : 254 - 271
  • [27] Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity
    Ben Hassen, Moahmed Fahmi
    Hamouda, Makram
    Hamza, Mohamed Ali
    Teka, Hanen Khaled
    ASYMPTOTIC ANALYSIS, 2022, 128 (04) : 495 - 515
  • [28] The evolving Planck mass in classically scale-invariant theories
    K. Kannike
    M. Raidal
    C. Spethmann
    H. Veermäe
    Journal of High Energy Physics, 2017
  • [29] Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part
    Chen, Wenhui
    Palmieri, Alessandro
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (02):
  • [30] The evolving Planck mass in classically scale-invariant theories
    Kannike, K.
    Raidal, M.
    Spethmann, C.
    Veermae, H.
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (04):
12345