Diffusion phenomenon for linear dissipative wave equations in an exterior domain
By Ryo Ikehata. 2002
46 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8517de494a20036276a364d1336ef61ab5d5c58a
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
- Ryo Ikehata
- Grozdena Todorova
- Borislav Yordanov
- Petronela Radu
- Kenji Nishihara
- Alain Haraux
- Huijiang Zhao
- R. Chill
In Control and Systems Engineering
- Ryo Ikehata
- Huijiang Zhao
- Kenji Nishihara
- Grozdena Todorova
- Borislav Yordanov
- M. DʼAbbicco
- Petronela Radu
- Alain Haraux
In Mathematical Physics
- Ryo Ikehata
- Huijiang Zhao
- Kenji Nishihara
- Grozdena Todorova
- Borislav Yordanov
- M. DʼAbbicco
- Petronela Radu
- Alain Haraux
Citations in the corpus
- Diffusion phenomenon for second order linear evolution equations (2003, background): “On the other hand, quite recently, Ikehata [4] has studied the diffusion phenomenon for the “exterior” mixed problem for linear damped wave equations through a new device, which has its origin in Ikehata–Matsuyama [5].”
- New decay estimates for linear damped wave equations and its application to nonlinear problem (2004, unknown): “In a sense, we can say that the non-linear problem (6)–(8) also has a kind of di usion structure as in the linear case (for di usion phenomenon, see Ikehata [9], Ikehata– Nishihara [10], Karch [5], Marcati–Nishihara [20], Nishihara [4], and the references therein).”
- Diffusion phenomenon in Hilbert spaces and applications (2011, methodology): “The diffusion phenomenon offers a tool to tackle qualitative aspects regarding the asymptotic behavior of solutions to damped hyperbolic problems.”
- Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption (2006, background): “See also Marcati and Nishihara [23] in 1-dimensional space, Hosono and Ogawa [15] in 2-dimensional space and Narazaki [25] in general space dimension and Ikehata [16], Ikehata and Nishihara [19], Chill and Haraux [3] in the abstract setting.”
- An optimal estimate for the difference of solutions of two abstract evolution equations (2003, background): “It has been conjectured in [3,4] that the difference is actually of the order Oðt Þ: We show in this note that this conjecture has a positive answer even for a stronger norm, and that this estimate is optimal in general.”