We study the properties of generalized solutions of mixed boundary-value problems for the linear system of elasticity theory in the exterior of a compact set and in a half-space under the assumption that the energy integral with weight |x|~a is finiter for such solutions. Depending on the value of the parameter a, a uniqueness criterion is established for these solutions, and exact formulae are obtained for the dimension of the space of solutions.
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机译:我们在紧定集的外部和半空间中,假设重量为| x |〜a的能量积分为有限的假设,研究弹性理论线性系统的混合边值问题的广义解的性质。这样的解决方案。根据参数a的值,为这些解决方案建立唯一性准则,并为解决方案的空间维度获得精确的公式。
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