抜粋
The goal of this paper is to study qualitative properties of solutions to the Cauchy problem for structurally damped σevolution models utt + (-δ)σu + b(t)(-δ)δut = 0; u(0; x) = u0(x); ut(0; x) = u1(x); where σ > 1, δ (0, σ), and the dissipation coecient b = b(t) is a timedependent and strictly increasing positive function. On the one hand, we are interested in Lp - Lq estimates for the energies of higher order. On the other hand, we are interested in Gevrey smoothing properties of solutions. Finally, we prove the optimality of decay by using scaleinvariant models. The main tool of our considerations is a related WKB-analysis.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 433-462 |
| ページ数 | 30 |
| ジャーナル | Advances in Differential Equations |
| 巻 | 20 |
| 発行部数 | 5-6 |
| 出版物ステータス | Published - 2015 5 1 |
| 外部発表 | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
フィンガープリント Qualitative properties of solutions to structurally damped σevolution models with time increasing coefficient in the dissipation' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Mezadek, M. K., Reissig, M., & Ozawa, T. (2015). Qualitative properties of solutions to structurally damped σevolution models with time increasing coefficient in the dissipation. Advances in Differential Equations, 20(5-6), 433-462.