Abstract

For a certain class of second-order hyperbolic systems, a mixed problem with Dirichlet and Poincaré boundary conditions is studied. In the linear case, an explicit representation of a soultion of this problem is given and questions related to its uniqueness and existence are studied depending on the character of nonlinearities in the system.

中文翻译：

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一类具有狄利克雷和庞加莱边界条件的二阶非线性双曲系统的混合问题

摘要

针对一类二阶双曲系统，研究了狄利克雷和庞加莱边界条件的混合问题。在线性情况下，给出了该问题的解决方案的明确表示，并根据系统非线性的特征研究了与其唯一性和存在性有关的问题。