Local Well-posedness for 2-D Schrodinger Equation on Irrational Tori and\n Bounds on Sobolev Norms

2013/06/28 by Seckin Demirbas, Demirbas, Seckin
Mathematics · #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1307.0051

Abstract

In this paper we consider the cubic Schrodinger equation in two space\ndimensions on irrational tori. Our main result is an improvement of the\nStrichartz estimates on irrational tori. Using this estimate we obtain a local\nwell-posedness result in H^s for s>131/416. We also obtain improved growth\nbounds for higher order Sobolev norms.\n

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