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On the generalized Korteweg-de Vries equation

✍ Scribed by Jeng-Eng Lin

Publisher
Springer
Year
1979
Tongue
English
Weight
213 KB
Volume
30
Category
Article
ISSN
0025-2611

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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