An Initial Boundary-Value Problem in a Half-Strip for the Korteweg–De Vries Equation in Fractional-Order Sobolev Spaces

By Andrei V. Faminskii. 2005

69 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e49de7d6a5c97b727dd7b28c9c5ae5a6a4e94844

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Bingyu Zhang
2. Jerry L. Bona
3. Nikolay Tzvetkov
4. Justin Holmer
5. Andrei V. Faminskii
6. Chaohua Jia
7. Tadahiro Oh
8. Jean-Claude Saut

In Mathematical Physics

1. Justin Holmer
2. Andrei V. Faminskii
3. Bingyu Zhang
4. Jerry L. Bona
5. Chaohua Jia
6. Nikolay Tzvetkov
7. Carlos E. Kenig
8. Tadahiro Oh

In Statistical and Nonlinear Physics

1. Justin Holmer
2. Andrei V. Faminskii
3. Bingyu Zhang
4. Chaohua Jia
5. Jerry L. Bona
6. Nikolay Tzvetkov
7. Carlos E. Kenig
8. Dionyssios Mantzavinos

Citations in the corpus

• Global well-posedness of two initial-boundary-value problems for the Korteweg-de Vries equation (2007, methodology): “As in [16] solutions of the considered problems are constructed in special spaces Xs of Bourgain type, introduced first in [7] for classes of global wellposedness for the initial-value problem for the KdV equation.”
• The Initial-Boundary Value Problem for the Korteweg–de Vries Equation (2005, methodology): “A global well-posedness result for the problem (1.1)(1.8) is obtained by [ Fam04 ] for s 0. Inverse scattering techniques have been applied to the problem (1.2) by [Fok02] and the linear analogue of the problem (1.5) in [FP01] for Schwartz class data.”
• Sharp well-posedness results for the BBM equation (2008, methodology): “A straightforward application of nonlinear interpolation theory (see [9] and the references therein) extends this result to Hs for any s ≥ 1.”
• Boundary Stabilization of the Korteweg-de Vries Equation and the Korteweg-de Vries-Burgers Equation (2012, background): “The interested readers are referred to [3, 5, 7, 8, 10, 18, 20, 24, 28, 29] and the references therein for an overall review for the well-posedness of the IBVP of the KdV and KdVB equations posed a finite domain and [1, 4, 9, 15–17, 19, 24] for the IBVP of the KdV and KdVB equations posed on the hal”
• Non-homogeneous boundary value problems for the Korteweg–de Vries and the Korteweg–de Vries–Burgers equations in a quarter plane (2008, background): “[12,29]) to exist globally in the space H( +) if (φ,h) ∈ H( +) × H s+1 3 +η( ) loc ( +) is s-compatible with respect to the system (1.”