The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions

Mathematics – Analysis of PDEs

Scientific paper

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18 pages

Scientific paper

This paper is concerned with the existence and the regularity of global
solutions to the linear wave equation associated with two-point type boundary
conditions. We also investigate the decay properties of the global solutions to
this problem by the construction of a suitable Lyapunov functional.

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