15 citations · 23 across the 6 of their papers we have counts for
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math.AP2017★ 1 cited
Strichartz estimates for the Schrodinger equation on irrational tori
Yu Deng, Pierre Germain, Larry Guth
We prove Strichartz estimates over large time scales for the Schrodinger equation set on irrational tori. They are optimal for Lebesgue exponents .
math.AP2017★ 1 cited
Growth of higher Sobolev norms for energy critical NLS on irrational tori: small energy case
Yu Deng
We consider the energy critical nonlinear Schrodinger equation on generic irrational tori. Using the long-time Strichartz estimates proved in [8], we establish polynomial upper bou…
math.AP2017★ 1 cited
Growth of solutions to NLS on irrational tori
Yu Deng, Pierre Germain
We prove polynomial bounds on the growth of higher Sobolev norms for the nonlinear Schrodinger equation set on a torus, in dimension 3, with super-cubic and sub-quintic nonlinearit…