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Regularity of viscosity solutions near KAM torus

Regularity of viscosity solutions near KAM torus
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摘要 In this paper, we give weak regularity theorems on P of u ?(x, P), where u ?(x, P) is the viscosity solution of the cell problem H ?(P + D x u ?, x) = $\overline H _\varepsilon $ (P). In this paper, we give weak regularity theorems on P of u~ε(x, P), where u~ε(x, P)is the viscosity solution of the cell problem H_ε(P+D_xu~ε, x)=H_ε(P).
出处 《Science China Mathematics》 SCIE 2008年第3期361-368,共8页 中国科学:数学(英文版)
基金 the National Natural Science Foundation of China (Grant Nos. 10701027, 10601013) Science and Technology Commission of Shanghai Municipality (Grant No. 06JC14005)
关键词 viscosity solutions KAM torus Hamilton-Jacobi equation 37J40 49L25 35C20 viscosity solutions KAM torus Hamilton-Jacobi equation
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参考文献15

  • 1Albert Fathi,Antonio Siconolfi.Existence of C1 critical subsolutions of the Hamilton-Jacobi equation[J].Inventiones mathematicae.2004(2)
  • 2Ugo Bessi.Aubry-Mather Theory and Hamilton-Jacobi Equations[J].Communications in Mathematical Physics.2003(3)
  • 3Jean Bourgain,Fran?ois Golse,Bernt Wennberg.On the Distribution of Free Path Lengths?for the Periodic Lorentz Gas[J].Communications in Mathematical Physics.1998(3)
  • 4H. S. Dumas,L. Dumas,F. Golse.On the mean free path for a periodic array of spherical obstacles[J].Journal of Statistical Physics (-).1996(5-6)
  • 5H. S. Dumas.Ergodization rates for linear flow on the torus[J].Journal of Dynamics and Differential Equations.1991(4)
  • 6Gomes D.Perturbation theory for viscosity solutions of Hamilton-Jacobi equations and stability of Aubry- Mather sets[].SIAM Journal on Mathematical Analysis.2003
  • 7Mather J.Modulus of continuity for Peierls‘s barrier[].Periodic solutions of Hamiltonian Systems and Related Topics.1987
  • 8Bardi M,Capuzzo-Dolcetta I.Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equa- tions[]..1997
  • 9Fathi A.The Weak KAM Theorem in Lagrangian Dynamics[]..2008
  • 10Bessi UAubry.Mather theory and Hamilton-Jacobi equations[].Communications in Mathematical Physics.2003

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