A classification of structural dissipations for evolution operators
By M. DʼAbbicco, M. Ebert. 2016
66 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6522618422f48dea12b94bd56a200af00c7b1d64
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- M. DʼAbbicco
- Hiroshi Takeda
- M. Ebert
- Ryo Ikehata
- Kenji Nishihara
- Grozdena Todorova
- Borislav Yordanov
- Petronela Radu
In Control and Systems Engineering
- M. DʼAbbicco
- M. Ebert
- Hiroshi Takeda
- Ryo Ikehata
- Masahiro Ikeda
- Michael Reissig
- Kenji Nishihara
- M. Sobajima
In Mathematical Physics
- M. DʼAbbicco
- M. Ebert
- Hiroshi Takeda
- Ryo Ikehata
- Masahiro Ikeda
- Michael Reissig
- Kenji Nishihara
- M. Sobajima
Citations in the corpus
- Asymptotic Profiles of Solutions for Structural Damped Wave Equations (2016, background): “While, quite recently, in a series of papers due to D’Abbicco [3], D’Abbicco-Ebert [4, 5, 6], D’Abbicco-Reissig [7] and Narazaki-Reissig [15] they have studied several decay estimates and asymptotic profiles of solutions to problem (1.”
- A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations (2017, background): “3) is non-increasing, due to: Moreover, if 2 δ ∈ [0 , σ ) ( e ff ective damping, according to the classification introduced in [9]), the solution to (6) may be written as the sum of two terms, whose asymptotic profiles as t → ∞ are described by the solutions to the two di ff usion problems [7, 28]:…”