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Holomorphic eigenfunctions of the vector field associated with the dispersionless Kadomtsev–Petviashvili equation

✍ Scribed by Grinevich, P.G.; Santini, P.M.

Book ID
120510669
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
338 KB
Volume
255
Category
Article
ISSN
0022-0396

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Well-posedness of the fifth order Kadomt
Well-posedness of the fifth order Kadomtsev–Petviashvili I equation in anisotropic Sobolev spaces with nonnegative indices
✍ Junfeng Li; Jie Xiao 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 215 KB

In this paper we establish the local and global well-posedness of the real valued fifth order Kadomtsev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative indices. In particular, our local well-posedness improves Saut-Tzvetkov's one and our global well-posedness gives an affi