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تسجيل مستخدم جديدWell-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices
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In this paper we establish the local and global well-posedness of the real valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative indices. In particular, our local well-posedness improves Saut-Tzvetkovs one and our global well-posedness gives an affirmative answer to Saut-Tzvetkovs $L^2$-data conjecture.
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