Growth of solutions to nls on irrational tori
WebMar 30, 2010 · We study growth of higher Sobolev norms of solutions of the onedimensional periodic nonlinear Schrödinger equation (NLS). By a combination of the normal form reduction and the upside-down I-method,… Expand 44 PDF Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger … WebY. Deng and P. Germain, Growth of solutions to NLS on irrational tori, Int. Math. Res. Not. IMRN, 2024 (2024), pp. 2919--2950. Google Scholar 18. . Y. Deng, P. Germain, and …
Growth of solutions to nls on irrational tori
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WebOct 12, 2010 · We study growth of higher Sobolev norms of solutions to the one-dimensional periodic nonlinear Schrodinger equation (NLS). By a combination of the normal form reduction and the upside-down... WebFeb 16, 2024 · Abstract: We prove polynomial bounds on the growth of higher Sobolev norms for the nonlinear Schrodinger equation set on a torus, in dimension 3, with …
WebJul 1, 2008 · In fact at the best of our knowledge the best known upper bound available on the growth of the classical Sobolev norm H 2k (T 2 ) for solutions to cubic NLS on T 2 is (1 + t) 2k−1+ǫ , as... WebFeb 18, 2024 · 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 bounds for higher Sobolev norms for solutions with small …
WebIn this paper we prove the existence of solutions of the cubic NLS on (almost all) 2-dimensional irrational tori undergoing an arbitrarily large (but finite) growth of their Sobolev norms. The key idea is to apply the mechanism of [13] for a quasi-resonant model and to obtain such model normalizing just a finite number of terms of the Hamiltonian. WebJul 1, 2024 · Recently Staffilani and collaborators started investigating the spreading of energy for solutions of the cubic NLS on irrational tori. In Staffilani–Wilson remark that …
WebGrowth of solutions to NLS on irrational tori Yu Deng, Pierre Germain Subjects: Analysis of PDEs (math.AP) [28] arXiv:1610.05736 [ pdf, ps, other] Analysis of the (CR) equation in higher dimensions T. Buckmaster, P. Germain, Z. Hani, J. Shatah Comments: 13 pages. This is a companion paper to arXiv:1610.03824 [math.AP]
WebFeb 16, 2024 · 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, … hbm brightnessWebOct 15, 2024 · We consider the energy-critical nonlinear Schrödinger equation on a generic irrational torus. Using the long-time Strichartz estimates proved in [8], we establish polynomial upper bounds for higher ... gold ash holder necklaceWebUnderstanding this relationship is important because organ growth and differentiation are more tightly linked to lean body mass and thus linear growth. Objective: To assess the … hbm capacityWebIn this paper we prove the existence of solutions of the cubic NLS on (almost all) 2 2 2 2-dimensional irrational tori undergoing an arbitrarily large (but finite) growth of their Sobolev norms.The key idea is to apply the mechanism of [] for a quasi-resonant model and to obtain such model normalizing just a finite number of terms of the Hamiltonian. . This avoids … hbm categoryWebJul 1, 2024 · We consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct solutions which undergo growth of Sobolev norms. More concretely, for every s>0, s≠1 and... hbm cheat enablerWebMar 15, 2024 · Growth of Solutions to NLS on Irrational Tori Article Feb 2024 Yu Deng Pierre Germain View Show abstract Recommendations Preprint We study in this article the asymptotic behavior of the... hbmcclure.com/gold-shield-memberships/Webwww.ncbi.nlm.nih.gov gold ash holder