Stabilization of the Wave Equation with Localized Nonlinear Damping

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Cite
Tcheugoué Tébou, Louis Roder. “Stabilization of the Wave Equation With Localized Nonlinear Damping”. Journal of Differential Equations, vol. 145, no. 2, 1998, pp. 502-24, https://doi.org/10.1006/jdeq.1998.3416.
Tcheugoué Tébou, L. R. (1998). Stabilization of the Wave Equation with Localized Nonlinear Damping. Journal of Differential Equations, 145(2), 502-524. https://doi.org/10.1006/jdeq.1998.3416
Tcheugoué Tébou, Louis Roder. “Stabilization of the Wave Equation With Localized Nonlinear Damping”. Journal of Differential Equations 145, no. 2 (1998): 502-24. https://doi.org/10.1006/jdeq.1998.3416.
Tcheugoué Tébou LR. Stabilization of the Wave Equation with Localized Nonlinear Damping. Journal of Differential Equations. 1998;145(2):502-24.
Refrences
Title Journal Journal Categories Citations Publication Date
Decay of solutions of the wave equation with a local nonlinear dissipation Mathematische Annalen
  • Science: Mathematics
1996
Decay of solutions of the wave equation with a local degenerate dissipation Israel Journal of Mathematics
  • Science: Mathematics
1996
Decay of solutions of wave equations in a star-shaped domain with nonlinear boundary feedback 1993
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping Differential and Integral Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
198 1993
Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary SIAM Journal on Control and Optimization
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
782 1992
Refrences Analysis
The category Science: Mathematics 13 is the most frequently represented among the references in this article. It primarily includes studies from SIAM Journal on Control and Optimization and Potential Analysis. 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
Indirect boundary stabilization of strongly coupled degenerate hyperbolic systems Rendiconti del Circolo Matematico di Palermo Series 2
  • Science: Mathematics
2024
Stabilization of hyperbolic problems with localized damping in unbounded domains Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
Stabilization of a coupled wave equation with one localized nonregular fractional Kelvin–Voigt damping with nonsmooth coefficients

Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Well-posedness and stability for a viscoelastic Petrovsky equation with a localized nonlinear damping SeMA Journal 1 2023
A finite element scheme for a 2D-wave equation with dynamical boundary control Mathematics and Computers in Simulation
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2023
Citations Analysis
The category Science: Mathematics 44 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Optimalité d'estimations d'énergie pour une équation des ondes amortie and was published in 1999. The most recent citation comes from a 2024 study titled Stabilization of hyperbolic problems with localized damping in unbounded domains. This article reached its peak citation in 2009, with 4 citations. It has been cited in 27 different journals, 3% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year