Nonlinear Internal Damping of Wave Equations with Variable Coefficients
Article Properties
-
LanguageEnglish
-
DOI (url)
-
Publication Date2004/10/01
-
Indian UGC (journal)
-
Refrences15
-
Citations34
-
Shao Ji Feng
-
De Xing Feng
Cite
Feng, Shao Ji, and De Xing Feng. “Nonlinear Internal Damping of Wave Equations With Variable Coefficients”. Acta Mathematica Sinica, English Series, vol. 20, no. 6, 2004, pp. 1057-72, https://doi.org/10.1007/s10114-004-0394-3.
Feng, S. J., & Feng, D. X. (2004). Nonlinear Internal Damping of Wave Equations with Variable Coefficients. Acta Mathematica Sinica, English Series, 20(6), 1057-1072. https://doi.org/10.1007/s10114-004-0394-3
Feng, Shao Ji, and De Xing Feng. “Nonlinear Internal Damping of Wave Equations With Variable Coefficients”. Acta Mathematica Sinica, English Series 20, no. 6 (2004): 1057-72. https://doi.org/10.1007/s10114-004-0394-3.
1.
Feng SJ, Feng DX. Nonlinear Internal Damping of Wave Equations with Variable Coefficients. Acta Mathematica Sinica, English Series. 2004;20(6):1057-72.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| 10.1007/BF02916708 | 2001 | |||
| 10.1137/S0363012997331482 | 1999 | |||
| Stabilization of the Wave Equation with Localized Nonlinear Damping | Journal of Differential Equations |
| 51 | 1998 |
| 10.1137/S0363012995284928 | 1997 | |||
| Stability of wave equations with dissipative boundary conditions in a bounded domain | Differential and Integral Equations |
| 6 | 1994 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 2 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 2
is the most frequently represented among the references in this article. It primarily includes studies from SIAM Review and Journal of Differential Equations. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Polynomial Decay Rate of a Variable Coefficient Wave Equation with Memory Type Acoustic Boundary Conditions | The Journal of Geometric Analysis |
| 2 | 2022 |
| Polynomial stability of transmission viscoelastic wave and plate equations on Riemannian manifolds | Journal of Mathematical Analysis and Applications |
| 1 | 2022 |
| Exact boundary controllability of the structural acoustic model with variable coefficients | Applicable Analysis |
| 2022 | |
Uniform decay rate estimates for the beam equation with locally distributed nonlinear damping | Mathematical Methods in the Applied Sciences |
| 2 | 2021 |
| Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with Nonlinear Locally Distributed Damping | Applied Mathematics & Optimization |
| 1 | 2021 |
Citations Analysis
The category
Science: Mathematics 29
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Stabilization of Euler–Bernoulli plate equation with variable coefficients by nonlinear boundary feedback and was published in 2006. The most recent citation comes from a 2022 study titled Polynomial Decay Rate of a Variable Coefficient Wave Equation with Memory Type Acoustic Boundary Conditions. This article reached its peak citation in 2022, with 3 citations. It has been cited in 18 different journals. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.