Strichartz estimates for Schrödinger equations on irrational tori

By Zihua Guo, Tadahiro Oh, Yuzhao Wang. 2013

58 citations recorded by the source corpus.

In this paper, we prove new Strichartz estimates for linear Schrödinger equations posed on d ‐dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well‐posedness results for nonlinear Schrödinger equations on irrational tori.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/28aca2f3834a923e5feb62f5a65c21349143d756

How researchers see this paper

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In Applied Mathematics

1. Jean Bourgain
2. Ciprian Demeter
3. Larry Guth
4. Yu Deng
5. Pierre Germain
6. Xiumin Du
7. Ruixiang Zhang
8. Jonathan Bennett

In Mathematical Physics

1. Jean Bourgain
2. Larry Guth
3. Ciprian Demeter
4. Yu Deng
5. Pierre Germain
6. Xiumin Du
7. Ruixiang Zhang
8. J. Hickman

Citations in the corpus

• Strichartz estimates for the Schrödinger equation on irrational tori (2017, background): “The question of Strichartz estimates on tori was first addressed by Bourgain [2], and this was followed by a number of works improving its results [3, 4, 9, 10].”
• The proof of the l 2 Decoupling Conjecture (2015, background): “Similar partial results in the direction of ε removal are derived for the irrational torus in [23].”