The generalized Korteweg–de Vries–Burger
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Tomasz Dlotko
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Article
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2011
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Elsevier Science
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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