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math.AP2014
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…
math.AP2014★ 5 cited
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…