The heat equation with generalized Wentzell boundary condition
By Angelo Favini, G. Goldstein, Jerome A. Goldstein, Silvia Romanelli. 2002
222 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/0d7ac97b009684a8be4d9c7289b9cdb1a7352475
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In Applied Mathematics
- Silvia Romanelli
- Wolfgang Arendt
- M. Meyries
- Giorgio Metafune
- D. Pallara
- Roland Schnaubelt
- Mahamadi Warma
- Jerome A. Goldstein
In Computational Theory and Mathematics
- Wolfgang Arendt
- Silvia Romanelli
- Hao Wu
- Mahamadi Warma
- Lahcen Maniar
- M. Meyries
- Roland Schnaubelt
- Jerome A. Goldstein
In Control and Systems Engineering
Citations in the corpus
- Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem (2010, background): “Analogous arguments as in [14], Section 4, lead to the conclusion that A1 is quasidissipative and closable in X1.”
- Heat Equation with Dynamical Boundary Conditions of Reactive Type (2008, unknown): “See [2], [3], [7], [10], [13], [14], [15], [16], [1], [9], [20], [18], [19], [27], and the references therein.”
- The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions (2003, methodology): “The boundary condition (1) was first studied in [9] in the space C([0, 1]) and then in [10] in the space L(Ω) ⊕ L(Γ) for 1 ≤ p < ∞ and in C(Ω̄) by a direct energy method and the Lumer-Phillips theorem.”
- Null controllability for parabolic equations with dynamic boundary conditions of reactive-diffusive type (2013, background): “In particular, for the mathematical theory of surface diffusion boundary conditions we refer to [5, 8, 14, 26, 30, 34].”
- A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions (2021, background): “Alternatively, the author of [98] proposed the following Wentzell type boundary condition for µ , that is with some coe ffi cients b > 0 , c ≥ 0 (cf. [93, 115] for the Wentzell boundary condition for the heat equation and wave equation).”