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math.AP2000
Some local wellposedness results for nonlinear Schroedinger equations below L^2
Axel Gruenrock
We prove some local (in time) wellposedness results for nonlinear Schroedinger equations with rough data, that is, the initial value belongs to some Sobolev space of negative index…
math.AP2000
On the Cauchy- and periodic boundary value problem for a certain class of derivative nonlinear Schroedinger equations
Axel Gruenrock
The Cauchy- and periodic boundary value problem for the nonlinear Schroedinger equations in space dimensions [u_t - iΔu = (\nabla \bar{u})^β, |β|=m \ge 2, u(0)=u_0 \in H^{s+1}_…