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Global well-posedness for the modified korteweg-de vries equation

โœ Scribed by Fonsecal, German; Linares, Felipe; Ponce, Gustavo


Book ID
127371762
Publisher
Taylor and Francis Group
Year
1999
Tongue
English
Weight
553 KB
Volume
24
Category
Article
ISSN
0360-5302

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Global well-posedness of Kortewegโ€“de Vri
โœ Zihua Guo ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 215 KB

We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H -3/4 (R) and the modified Kortewegde Vries initial-value problem is globally well-posed in H 1/4 (R). The new ingredient is that we use directly the contraction principle to prove local well-posedness for KdV equat