On the solvability conditions for the diffusion equation with convection terms

By V. Vougalter, Vitaly Volpert. 2011

72 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/679eb131bff64e0b1c833656979819373c4e721f

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In Computational Theory and Mathematics

1. V. Vougalter
2. Vitaly Volpert
3. C. Camere
4. E. Witten
5. Weiping Zhang
6. Nicolas Ginoux
7. I. Shovkovy
8. V. A. Miransky

In Mathematical Physics

1. Vitaly Volpert
2. V. Vougalter
3. E. Witten
4. Nicolas Ginoux
5. C. Camere
6. Weiping Zhang
7. I. Shovkovy
8. V. A. Miransky

Citations in the corpus

• Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems (2012, methodology): “…potential in the original problem when d = 3, such that H a := −∆ x + V (x) − ∆ y − a (1.13) considered on L 2 (D), with D = R 3 × Ω, the Dirichlet Laplacian −∆ y is on L 2 (Ω) as before, the parameter a ≥ 0 and the assumption below is analogous to the one used in [13], [14], [15], [16] and [17].”
• On the Solvability Conditions for a Linearized Cahn-Hilliard Equation (2011, background): “1 of [17] (see also [18, 19]) with the slight difference that the precise rate of decay is assumed not a.”