• 1. existence of weak solution: 弱解存在性
• 2. existence of global weak solution: 整体弱解的存在性

• 1.By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.
  利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
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• 2.Based on the analytical solution of RSJ model with the existence of external radiation, a method for finding voltage response and RF impedance of superconducting weak links is proposed and discussed.
  本文讨论用外辐射rsj模型的解析解求超导弱连接的电压响应和RF阻抗的一种方法。
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• 3.The existence of a nontrivial weak solution is established with the help of the first eigenvalue of the corresponding eigenvalue problem, where the eigenvalue parameter is less than a known constant.
  借助相应带不定权特征值问题的第一特征值建立了其非平凡解的存在性定理，其中方程组中特征值参数小于某已知常数。
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