Well-posedness for a higher-order Benjamin-Ono equation

作者：Linares Felipe^*; Pilod Didier; Ponce Gustavo

来源：Journal of Differential Equations, 2011, 250(1): 450-475.

DOI：10.1016/j.jde.2010.08.022

• Benjamin-Ono equation
• Local well posedness
• Gauge transformation

In this paper we prove that the initial value problem associated to the following higher-order Benjamin-Ono equation
partial derivative(t)v - bH partial derivative(2)(x)v + a partial derivative(3)(x)v = cv partial derivative(x)v - d partial derivative(x)(vH partial derivative(x)v + H(v partial derivative(x)v))
where x t is an element of R v is a real-valued function H is the Hilbert transform a is an element of R b c and d are positive constants is locally well-posed for initial data

• 出版日期2011-1-1