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The step-decay problem for the Korteweg-de Vries-Burgers equation

✍ Scribed by P. I. Naumkin; I. A. Shishmarev


Publisher
Springer US
Year
1991
Tongue
English
Weight
644 KB
Volume
25
Category
Article
ISSN
0016-2663

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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