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
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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 H^s(R) with s>\frac{3}{2}. The existence of local weak solutions for the equation in the lower order Sobolev space H^s with 1\le s\le \frac{3}{2} is also investigated.