6 citations · 8 across the 3 of their papers we have counts for
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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…