The heat equation with nonlinear generalized Robin boundary conditions

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Cite
Biegert, Markus, and Mahamadi Warma. “The Heat Equation With Nonlinear Generalized Robin Boundary Conditions”. Journal of Differential Equations, vol. 247, no. 7, 2009, pp. 1949-7, https://doi.org/10.1016/j.jde.2009.07.017.
Biegert, M., & Warma, M. (2009). The heat equation with nonlinear generalized Robin boundary conditions. Journal of Differential Equations, 247(7), 1949-1979. https://doi.org/10.1016/j.jde.2009.07.017
Biegert, Markus, and Mahamadi Warma. “The Heat Equation With Nonlinear Generalized Robin Boundary Conditions”. Journal of Differential Equations 247, no. 7 (2009): 1949-79. https://doi.org/10.1016/j.jde.2009.07.017.
Biegert M, Warma M. The heat equation with nonlinear generalized Robin boundary conditions. Journal of Differential Equations. 2009;247(7):1949-7.
Refrences
Title Journal Journal Categories Citations Publication Date
Sobolev embeddings, extensions and measure density condition Journal of Functional Analysis
  • Science: Mathematics
69 2008
Quasilinear parabolic equations with nonlinear Wentzell–Robin type boundary conditions Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
9 2007
On extensions of Sobolev functions defined on regular subsets of metric measure spaces Journal of Approximation Theory
  • Science: Mathematics
26 2007
Quasilinear parabolic and elliptic equations with nonlinear boundary conditions Nonlinear Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
29 2007
Boundary oscillations and nonlinear boundary conditions Comptes Rendus. Mathématique
  • Science: Mathematics
  • Science: Mathematics
9 2006
Refrences Analysis
The category Science: Mathematics 19 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications 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
General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term Acta Mathematica Vietnamica
  • Science: Mathematics
2023
Existence of solutions for quasilinear problem with Neumann boundary conditions

Boletim da Sociedade Paranaense de Matemática
  • Science: Mathematics
  • Science: Mathematics
1 2022
Viscous heating and cooling process in a mixed convection cavity with free-slip effect Case Studies in Thermal Engineering
  • Technology: Mechanical engineering and machinery
  • Science: Physics: Heat: Thermodynamics
9 2021
Observers and Disturbance Rejection Control for a Heat Equation IEEE Transactions on Automatic Control
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Technology: Engineering (General). Civil engineering (General)
1 2020
Nonlinear Elliptic Boundary Value Problems at Resonance with Nonlinear Wentzell Boundary Conditions

Advances in Mathematical Physics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
2 2017
Citations Analysis
The category Science: Mathematics 15 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions and was published in 2010. The most recent citation comes from a 2023 study titled General Decay and Blow-up Results of a Robin-Dirichlet Problem for a Pseudoparabolic Nonlinear Equation of Kirchhoff-Carrier Type with Viscoelastic Term. This article reached its peak citation in 2012, with 4 citations. It has been cited in 15 different journals, 13% of which are open access. Among related journals, the Nonlinear Analysis cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year