Zihua Guo, Tadahiro Oh, Yuzhao Wang
Abstract
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In this paper, we prove new Strichartz estimates for linear Schrodinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrodinger equations (NLS) on irrational tori.
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In this paper, we prove new Strichartz estimates for linear Schrodinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and critical local well-posedness results for nonlinear Schrodinger equations (NLS) on irrational tori.
Key concepts: Torus, Irrational number, Nonlinear system, Schrödinger's cat, Mathematics, Schrödinger equation, Nonlinear Schrödinger equation, Applied mathematics