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The Discretized Generalized Korteweg-de Vries Equation with Fourth Order Nonlinearity

โœ Scribed by M. Nixon


Book ID
114421683
Publisher
Springer
Year
2003
Tongue
English
Weight
248 KB
Volume
5
Category
Article
ISSN
1572-9206

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โœ Tomasz Dlotko ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 292 KB

The generalized KdV-Burgers equation u t +(ฮดu xx +g(u)) x -ฮฝu xx +ฮณ u = f (x), ฮด, ฮฝ > 0, ฮณ โ‰ฅ 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