03-05-2010
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Seminário de Análise
Centro de Matemática e Aplicações
FCT- Universidade Nova de Lisboa
http://www.dmat.fct.unl.pt/cma
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Quarta-feira, 5 de Maio de 2010, 12 horas
Título: Local well-posedness for generalized KP-II type equations on
cylinders
Orador: Jorge Drumond Silva, IST.
Local: Sala de Seminários, 2º piso, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica
Resumo: We present recent results for the KP-II equations with generalized dispersion terms, in two and three spacial dimensions, periodic only in the x variable. We will start by showing how the solutions to the linearized equations satisfy bilinear Strichartz-type estimates, which are independent of the dispersion. We then use these estimates to establish local well-posedness for the Cauchy problem associated to the equations for low regularity data, in the framework of Bourgain spaces. For certain ranges of dispersion, these local results are optimal. This is a joint work with Axel Grünrock and Mahendra Panthee.
