5 citations · 9 across the 6 of their papers we have counts for
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Wave maps on (1+2)-dimensional curved spacetimes
Cristian Gavrus, Casey Jao, Daniel Tataru
In this article we initiate the study of 1+ 2 dimensional wave maps on a curved spacetime in the low regularity setting. Our main result asserts that in this context the wave maps…
Refined mass-critical Strichartz estimates for Schrödinger operators
Casey Jao
We develop refined Strichartz estimates at regularity for a class of time-dependent Schrödinger operators. Such refinements begin to characterize the near-optimizers of the S…
The quintic NLS on perturbations of
Casey Jao
Consider the defocusing quintic nonlinear Schrödinger equation on with initial data in the energy space. This problem is "energy-critical" in view of a certain scale…
Inverse Strichartz estimates for 1d Schrödinger operators with potentials of quadratic growth
Casey Jao, Rowan Killip, Monica Visan
We prove inverse Strichartz theorems at regularity for a family of Schrödinger evolutions in one space dimension. Prior results rely on spacetime Fourier analysis and are lim…
Energy-critical NLS with potentials of quadratic growth
Casey Jao
Consider the global wellposedness problem for nonlinear Schrödinger equation \[ i\partial_t u = [-\tfrac{1}{2} Δ+ V(x)] u \pm |u|^{4/(d-2)} u, \ u(0) \in Σ(\mathbf{R}^d), \] where…
The Energy-Critical Quantum Harmonic Oscillator
Casey Jao
We consider the energy critical nonlinear Schrödinger equation in dimensions with a harmonic oscillator potential . When the nonlinearity is de…