Artículos de revistas
Sharp Local Well-posedness Of Kdv Type Equations With Dissipative Pertubations
Registro en:
Quarterly Of Applied Mathematics. Brown Univ, v. 74, p. 571 - 594, 2016.
0033-569X
1552-4485
WOS:000379818200008
10.1090/qam/1437
Autor
Carvajal
Xavier; Panthee
Mahendra
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this work, we study the initial value problems associated to some linear perturbations of the KdV equation. Our focus is on the well-posedness issues for initial data given in the L-2-based Sobolev spaces. We derive a bilinear estimate in a space with weight in the time variable and obtain sharp local well-posedness results. 74 3 571 594 CNPq [304036/2014-5, 481715/2012-6, 479558/2013-2, 305483/2014-5] FAPESP [2012/20966-4] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)