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math.AP2016★ 21 cited
Strichartz estimates for the fractional Schrödinger and wave equations on compact manifolds without boundary
Van Duong Dinh
We firstly prove Strichartz estimates for the fractional Schrödinger equations on endowed with a smooth bounded metric . We then prove Strichartz estimates for th…
math.AP2016★ 11 cited
Well-posedness of nolinear fractional Schrödinger and wave equations in Sobolev spaces
Van Duong Dinh
We prove the well-posed results in sub-critical and critical cases for the pure power-type nonlinear fractional Schrödinger equations on . These results extend the pr…