Lévy噪声驱动的随机Fornberg-Whitham方程的适定性

Well-posedness for StochasticFornberg-Whitham Equation with Lévy Noise

在Sobolev空间H~s(R)(s>3/2)中,使用耗散逼近方程和正则化方法,证明了Lévy噪声驱动的随机Fornberg-Whitham方程的局部适定性.

The local well-posedness of solutions for the stochastic Fornberg-Whitham equation with Lévy noise in the Sobolev space with H s(R)(s>3/2)is established by using a dissipation approximation equation and the regularization method.