The well-posedness of local solutions for a generalized Novikov equation

• Autores: Shaoyong Lai, Feng Zhang, Hanlei Hu
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 2, 2014, págs. 257-271
• Idioma: inglés
• DOI: 10.1007/s13348-013-0097-0
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• Resumen

  • The pseudo-parabolic regularization technique is applied to establish the well-posedness of local solutions for a generalized Novikov equation in the Sobolev space ??(?) with ?>32 . The existence of local weak solutions for the equation in the lower order Sobolev space ?? with 1≤?≤32 is also investigated.