An Abstract Birkhoff Normal Form Theorem and Exponential Type Stability of the 1d NLS
暂无分享,去创建一个
[1] Lufang Mi,et al. A Nekhoroshev type theorem for the derivative nonlinear Schrödinger equation , 2020 .
[2] Jessica Elisa Massetti,et al. Exponential and sub-exponential stability times for the NLS on the circle , 2019, Rendiconti Lincei - Matematica e Applicazioni.
[3] E. Faou,et al. Rational Normal Forms and Stability of Small Solutions to Nonlinear Schrödinger Equations , 2018, Annals of PDE.
[4] R. Feola,et al. Long time existence for fully nonlinear NLS with small Cauchy data on the circle , 2018, 1806.03437.
[5] Yunfeng Shi,et al. The Stability of Full Dimensional KAM tori for Nonlinear Schr\"odinger equation , 2017, 1705.01658.
[6] M. Berti,et al. Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions , 2017, 1702.04674.
[7] M. Procesi,et al. Growth of Sobolev norms for the analytic NLS on T2 , 2016 .
[8] M. Procesi,et al. KAM for Beating Solutions of the Quintic NLS , 2016, 1609.01684.
[9] B. Fayad,et al. Double exponential stability for generic real-analytic elliptic equilibrium points , 2015, 1509.00285.
[10] Jing Zhang,et al. Long Time Stability of Hamiltonian Partial Differential Equations , 2014, SIAM J. Math. Anal..
[11] Marcel Guardia,et al. Growth of Sobolev Norms in the Cubic Nonlinear Schrödinger Equation with a Convolution Potential , 2014 .
[12] Zaher Hani,et al. Long-time Instability and Unbounded Sobolev Orbits for Some Periodic Nonlinear Schrödinger Equations , 2012, 1210.7509.
[13] V. Kaloshin,et al. Growth of Sobolev norms in the cubic defocusing nonlinear Schr\"odinger equation , 2012 .
[14] B. Grébert,et al. Resonant dynamics for the quintic nonlinear Schrödinger equation , 2011, 1111.6827.
[15] Luca Biasco,et al. KAM theory for the Hamiltonian derivative wave equation , 2011, 1111.3905.
[16] Erwan Faou,et al. Sobolev Stability of Plane Wave Solutions to the Cubic Nonlinear Schrödinger Equation on a Torus , 2011, 1109.2407.
[17] L. Biasco,et al. A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation , 2010 .
[18] T. Tao,et al. Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation , 2010 .
[19] Erwan Faou,et al. A Nekhoroshev-type theorem for the nonlinear Schrödinger equation on the torus , 2013 .
[20] S. Kuksin,et al. Vey theorem in infinite dimensions and its application to KdV , 2009, 0910.0089.
[21] Dario Bambusi,et al. Birkhoff normal form for partial differential equations with tame modulus , 2006 .
[22] J. Bourgain. On invariant tori of full dimension for 1D periodic NLS , 2005 .
[23] B. Grébert,et al. Almost global existence for Hamiltonian semilinear Klein‐Gordon equations with small Cauchy data on Zoll manifolds , 2005, math/0510292.
[24] B. Grébert,et al. Forme normale pour NLS en dimension quelconque , 2003 .
[25] Dario Bambusi,et al. Birkhoff Normal Form for Some Nonlinear PDEs , 2003 .
[26] Dario Bambusi,et al. On long time stability in Hamiltonian perturbations of non-resonant linear PDEs , 1999 .
[27] Dario Bambusi,et al. Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations , 1999 .
[28] Jean Bourgain,et al. Construction of approximative and almost periodic solutions of perturbed linear schrödinger and wave equations , 1996 .
[29] A. Giorgilli,et al. Superexponential stability of KAM tori , 1995 .
[30] G. Benettin,et al. A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom , 1988 .
[31] N V Nikolenko,et al. The method of Poincaré normal forms in problems of integrability of equations of evolution type , 1986 .
[32] Jean-Marc Delort,et al. A quasi-linear Birkhoff normal forms method : application to the quasi-linear Klein-Gordon equations on S[1] , 2012 .
[33] Jean-Marc Delort,et al. Bounded almost global solutions for non hamiltonian semi-linear Klein-Gordon equations with radial data on compact revolution hypersurfaces , 2006 .
[34] Jeremie Szeftel,et al. Long-time existence for small data nonlinear Klein-Gordon equations on tori and spheres , 2004 .
[35] J. Bourgain. On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE , 1996 .