Boundary oscillations and nonlinear boundary conditions

Article Properties
Cite
Arrieta, José M., and Simone M. Bruschi. “Boundary Oscillations and Nonlinear Boundary Conditions”. Comptes Rendus. Mathématique, vol. 343, no. 2, 2006, pp. 99-104, https://doi.org/10.1016/j.crma.2006.05.007.
Arrieta, J. M., & Bruschi, S. M. (2006). Boundary oscillations and nonlinear boundary conditions. Comptes Rendus. Mathématique, 343(2), 99-104. https://doi.org/10.1016/j.crma.2006.05.007
Arrieta, José M., and Simone M. Bruschi. “Boundary Oscillations and Nonlinear Boundary Conditions”. Comptes Rendus. Mathématique 343, no. 2 (2006): 99-104. https://doi.org/10.1016/j.crma.2006.05.007.
Arrieta JM, Bruschi SM. Boundary oscillations and nonlinear boundary conditions. Comptes Rendus. Mathématique. 2006;343(2):99-104.
Refrences
Title Journal Journal Categories Citations Publication Date
Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds Communications in Partial Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
85 2000
Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain Journal of Differential Equations
  • Science: Mathematics
62 2004
Why viscous fluids adhere to rugose walls: a mathematical explanation Journal of Differential Equations
  • Science: Mathematics
2003
The oscillating boundary phenomenon in the homogenization of a climatization problem Differential Equations
  • Science: Mathematics
2001
The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
72 1999
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Differential Equations and Communications in Partial 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
Spectral stability of the Steklov problem Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
3 2022
Optimal boundary control problem for ill‐posed elliptic equation in domains with rugous boundary. Existence result and optimality conditions

Optimal Control Applications and Methods
  • Technology: Mechanical engineering and machinery
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
1 2020
Asymptotic analysis of an optimal boundary control problem for ill-posed elliptic equation in domains with rugous boundary Asymptotic Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2020
Attractors for a Nonlinear Parabolic Problem with Terms Concentrating on the Boundary Journal of Dynamics and Differential Equations
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
11 2014
Uniform resolvent convergence for strip with fast oscillating boundary Journal of Differential Equations
  • Science: Mathematics
34 2013
Citations Analysis
The category Science: Mathematics 8 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION and was published in 2007. The most recent citation comes from a 2022 study titled Spectral stability of the Steklov problem. This article reached its peak citation in 2020, with 2 citations. It has been cited in 7 different journals. Among related journals, the Journal of Differential Equations cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year