Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space

By R. Charão, C. R. Luz, Ryo Ikehata. 2013

62 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9ba002d5c5ff0c54104c2b8a29ebd55509d01dc2

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

1. Hiroshi Takeda
2. Ryo Ikehata
3. M. DʼAbbicco

In Control and Systems Engineering

1. Hiroshi Takeda
2. Ryo Ikehata
3. M. DʼAbbicco
4. Kenji Nishihara
5. M. Ebert
6. Wenhui Chen

In Mathematical Physics

1. Hiroshi Takeda
2. Ryo Ikehata
3. M. DʼAbbicco
4. Kenji Nishihara
5. M. Ebert
6. Wenhui Chen

Citations in the corpus

• Asymptotic Profiles of Solutions for Structural Damped Wave Equations (2016, background): “tn 2σn−1e−tσ 2 = 0 (a.e.σ ∈ [0,∞)) (5.1) So, in order to apply the Lebesgue dominated convergence theorem, one has to get a priori bounds for the t-dependent functions tn2 σn−1e−tσ 2 in each interval [0,1] and [1,∞). CaseI: In the case of σ ∈ (0,1], there exists a constant M > 0 such that 0 ≤ tn2”