On the Well-Posedness of the Dissipative Kadomtsev–Petviashvili Equation
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Published:2020-01
Issue:1-2
Volume:107
Page:333-344
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ISSN:0001-4346
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Container-title:Mathematical Notes
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language:en
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Short-container-title:Math Notes
Author:
Wang H.,Esfahani A.
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference20 articles.
1. M. J. Ablowitz and H. Segur, Solitons and Inverse Scattering (SIAM Publication, 1981).
2. J. Bourgain, “On the Cauchy problem for the Kadomtsev–Petviashvili equation,” Geom. Funct. Anal. 3, 315–341 (1993).
3. M. Darwich, “On the well-posedness for Kadomtsev–Petviashvili–Burgers I equation, J. Differential Equations 253, 1584–1603 (2012).
4. A. Esfahani, “The Cauchy problem for the dissipation-modified Kadomtsev–Petviashvili equation,” J. Math. Anal. Appl. 390, 439–455 (2012).
5. A. Esfahani and A. Pastor, “Ill-posedness results for the (generalized) Benjamin–Ono–Zakharov–Kuznetsov equation,” Proc. Amer. Math. Soc. 139, 943–956 (2011).