无阻尼弱耗散抽象发展方程的强全局吸引子

摘要: 运用半群理论、收缩函数理论和定义泛函的方法，当非线性项满足较弱的耗散型条件时，在空间V_2θ×V_θ×L_μ²（ℝ⁺；V_2θ）中得到了无阻尼弱耗散抽象发展方程的强全局吸引子的存在性.
- 抽象发展方程 /
- 收缩函数 /
- 全局吸引子
Abstract: In this paper, by using the theory of semigroup, contractive function and the method of defining functionals, the existence of the global attractors for nondamping weak dissipative abstract evolution equations with strong solutions in the space V_2θ×V_θ×L_μ²(ℝ⁺; V_2θ was obtained when the nonlinear term satisfies the weaker dissipative condition.
- abstract evolution equation /
- contractive function /
- global attractor

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参考文献(17)

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