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目次

  • 1.Global attractors for autonomous evolution equations
    • 1.1 Kolmogorov ε‐entropy and its asymptotics in functional spaces
    • 1.2 Global attractors and finite dimensional reduction
    • 1.3 Dissipative estimate for solutions of a reaction−diffusion system with anisotropic nonlinearities
    • 1.4 The global attracor of a reaction−diffusion system with anisotropic nonlinearities
  • 2.Homogenization of attractors:autonomous and non‐autonomous reaction−diffusion systems
    • 2.1 Upper semicontinuity of non‐homogenized attractors:spatially oscillating almost−periodic media
    • 2.2 Error estimates between non‐homogenized and homogenized attractors:spatially oscillating periodic case
    • 2.3 Temporally oscillating almost periodic media:uniform dissipative estimates
    • 2.4 Temporal averaging of individual solutions:qualitative aspects
    • 2.5 Temporal averaging of individual solutions:quantitative aspects
    • 2.6 Averaging near a hyperbolic equlibrium
    • 2.7 Regular attractor:the non‐autonomous case
    • 2.8 Averaging of regular attractors:the non‐autonomous case
  • 3.Exponential attractors for evolution equations in Banach spaces
    • 3.1 Exponential attractors for autonomous systems
    • 3.2 Perturbation of exponential attractors:autonomous case
    • 3.3 Perturbation of exponential attractors:non‐autonomous case
    • 3.4 Exponential attractors for a non‐autonomous reation−diffusion system
  • 4.Global and exponential attractors in unbounded domains
    • 4.1 Functional spaces related to unbounded domains
    • 4.2 A priori estimates,existence and uniqueness of solutions
    • 4.3 The global(uniform)attractor
    • 4.4 Kolmogorov ε‐entropy of the global(uniform)attractor
    • 4.5 Infinite dimensional exponential attractor
    • 4.6 Approximation of infinite−dimensional exponential attractors
    • 4.7 Symmetry and attractors:trajectory dynamical systems approach
  • 5.Long‐time dynamics of solutions of 4th order equations
    • 5.1 The finite dimensional global attractor for a Cahn−Hilliard type system:supercritical case with Dirichlet boundary conditions
    • 5.2 The finite dimentional global attractor for a Cahn−Hilliard type system:supercritical case with Neumann boundary conditions
    • 5.3 Exponential attractors for a singularly perturbed Cahn−Hilliard system
    • 5.4 Global attractor for the Swift−Hohenberg equation in unbounded domains and its Kolmogorov ε‐entropy