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math.AP2015★ 1 cited
Almost sure local wellposedness of energy critical fractional Schrödinger equations with hartree nonlinearity
Gyeongha Hwang
We consider a Cauchy problem of energy-critical fractional Schrödinger equation with Hartree nonlinearity below the energy space. Using a method of randomization of functions on $\…
math.AP2015★ 2 cited
Energy concentration of the focusing energy-critical FNLS
Yonggeun Cho, Gyeongha Hwang, Yong-Sun Shim
We consider the fractional nonlinear Schrödinger equation (FNLS) with general dispersion and focusing energy-critical nonlinearities and $-(|x|^…