具有分布力的Euler-Bernoulli模型的广义解
Generalized solutions for the Euler-Bernoulli model with distributional forces
摘要：
建立了力学Euler-Bernoulli梁模型初边值问题广义解的存在唯一性。控制的偏微分方程是四阶的，涉及不连续的，甚至分配系数和右手边。一般的问题是通过应用功能分析技术来解决正则化问题的解决方案，以获得估计。最后，我们证明了相干性质，并给出了广义解的正则性分析。
英文摘要：
We establish existence and uniqueness of generalized solutions to the initial-boundary value problem corresponding to an Euler-Bernoulli beam model from mechanics. The governing partial differential equation is of order four and involves discontinuous, and even distributional coefficients and right-hand side. The general problem is solved by application of functional analytic techniques to obtain estimates for the solutions to regularized problems. Finally, we prove coherence properties and provide a regularity analysis of the generalized solution.
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