Remarks on large time behavior of the $L^{2}$-norm of solutions to strongly damped wave equations

By Ryo Ikehata, Michiaki Onodera. Differential and Integral Equations, 2017

49 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/427913d6368595c18b8d00962f9ea6a7d2f62b8f

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, result): “Anyway, from the results obtained by [9] and [11] one can know that as t → ∞, in the case when n ≥ 3 one has C|P1|t n−2 4 ≤ ‖u(t, ·)‖ ≤ C(‖u1‖1,1 + ‖u0‖1,1 + ‖u1‖+ ‖u0‖H1)t n−2 4 , while in the case when n = 1, 2 it is true that C|P1| √ log t ≤ ‖u(t, ·)‖ ≤ C(‖u1‖1,1 + ‖u0‖1,1 + ‖u1‖+ ‖u0‖H1) √”