The solution of general KdV equation in a class of steplike functions.
Khasanov, A.B., Urazboev, G.U. (2004)
Zapiski Nauchnykh Seminarov POMI
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Khasanov, A.B., Urazboev, G.U. (2004)
Zapiski Nauchnykh Seminarov POMI
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2000 Mathematics Subject Classification: 35Lxx, 35Pxx, 81Uxx, 83Cxx. The theory of the waves equations has a long history since M. Riesz and J. Hadamard. It is impossible to cite all the important results in the area, but we mention the authors related with our work: J. Leray [34] and Y. Choquet-Bruhat [9] (Cauchy problem), P. Lax and R. Phillips [33] (scattering theory for a compactly supported perturbation), L. H¨ ormander [27] and J-M. Bony [7] (microlocal analysis). In...
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