Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations
By Mitsuhiro T. Nakao. 2001
107 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5fc906b2c792d0cea13c154e354d3de6dd3ce508
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
In Control and Systems Engineering
- Grozdena Todorova
- Borislav Yordanov
- Petronela Radu
- M. DʼAbbicco
- Ryo Ikehata
- Michael Reissig
- M. Ebert
- Salim A. Messaoudi
In Mathematical Physics
- Grozdena Todorova
- Borislav Yordanov
- Petronela Radu
- M. DʼAbbicco
- Michael Reissig
- A. Palmieri
- Ryo Ikehata
- M. Ebert
Citations in the corpus
- Diffusion phenomenon in Hilbert spaces and applications (2011, methodology): “The energy decay of solutions of (4.1) in an exterior domain for the Laplacian and variable damping coefficient has been studied extensively by using the multiplier method: Mochizuki and Nakazawa [22], Mochizuki and Nakao [21], Nakao [23,24], Ikehata [15,16] and the references therein.”
- Weighted L2-estimates for dissipative wave equations with variable coefficients (2009, unknown): “In contrast to the enormous number of works concerning L2-estimates, the number of general techniques is quite small: (1) resolvent estimates for parameter dependent elliptic operators [AL], [CZ], [FZ], [HM], [RT1], [RW], [SJ], [W1], (2) observability inequalities combined with the energy dissipatio”