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On the well-posedness for Kadomtsev–Petviashvili–Burgers I equation

✍ Scribed by Mohamad Darwich

Book ID
113699468
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
245 KB
Volume
253
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