We study the Cauchy problem for the Davey-Stewartson equation i(e)tu+Au+|u|2u+E1(|u|2)u=0,(t,x)∈R×R3.The dichotomy between scattering and finite time blow-up
In this paper,we consider the Neumann problem for parabolic Hessian quotient equations.We show that the k-admissible solution of the parabolic Hessian quotient
In this paper,we characterize the compactness and Fredholmness of Toeplitz operators and Toeplitz products on Bergman-Sobolev spaces over the unit polydisk.We also calculate the essential norm of finite sums of finite Toeplitz products on these spaces.