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Boundary Stabilization of the Korteweg-de Vries Equation and the Korteweg-de Vries-Burgers Equation

✍ Scribed by Chaohua Jia; Bing-Yu Zhang


Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
743 KB
Volume
118
Category
Article
ISSN
0167-8019

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The generalized Korteweg–de Vries–Burger
✍ Tomasz Dlotko 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 292 KB

The generalized KdV-Burgers equation u t +(δu xx +g(u)) x -νu xx +γ u = f (x), δ, ν > 0, γ ≥ 0, is considered in this paper. Using the parabolic regularization technique we prove local and global solvability in H 2 (R) of the Cauchy problem for this equation. Several regularity properties of the app