DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC-ELLIPTIC SYSTEM
By Takafumi Hosono, Shuichi Kawashima. 2006
104 citations recorded by the source corpus.
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ca3c768502ae2645fef6d8a9977065a35c9dd681
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Control and Systems Engineering
- M. Ebert
- M. DʼAbbicco
- Yongqing Liu
- Shuichi Kawashima
- Ryo Ikehata
- Masahiro Ikeda
- M. Sobajima
- Michael Reissig
In Mathematical Physics
- M. Ebert
- M. DʼAbbicco
- Yongqing Liu
- Shuichi Kawashima
- Ryo Ikehata
- Masahiro Ikeda
- M. Sobajima
- Michael Reissig
Citations in the corpus
- Large Time Asymptotics for Partially Dissipative Hyperbolic Systems (2011, unknown): “In [17,20], there are interesting ideas about estimates when the (SK) condition fails, which are obtained with a loss of regularity with respect to the initial data.”
- A classification of structural dissipations for evolution operators (2016, background): “Also, it is possible to study the case ı > , taking into account that in this case, we have a decay of regularity-loss type, that is, extra regularity is required for the data to obtain at high frequencies the same decay rate that one finds at low frequencies (see, for instance, [24, 25]).”
- Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation (2010, methodology): “A similar decay structure of the regularity-loss type was also observed for the dissipative Timoshenko system ([14, 25]) and a hyperbolic-elliptic system related to a radiating gas ([13]).”