6 citations · 8 across the 2 of their papers we have counts for
3 papers
math.AP2005★ 6 cited
The General Quasilinear Ultrahyperbolic Schrödinger Equation
C. E. Kenig, G. Ponce, C. Rolvung +1
In this work we establish a local existence theory for the initial value problem associated to the general quasi-linear ultrahyperbolic Schrödinger equation.
math.AP2005★ 2 cited
Variable coefficient Schrödinger flows for ultrahyperbolic operators
C. E. Kenig, G. Ponce, C. Rolvung +1
In this paper we study the local solvability of nonlinear Schrödinger equations of the form $$\p_t u = i {\cal L}(x) u + \vec b_1(x)\cdot \nabla_x u + \vec b_2(x)\cdot \nabla_x \ba…
math.AP2002
Low regularity solutions for the Kadomtsev-Petviashvili I equation
J. Colliander, C. Kenig, G. Staffilani
In this paper we obtain local in time existence and (suitable) uniqueness and continuous dependence for the KP-I equation for small data in the intersection of the energy space and…