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arxiv: 0807.1510 · v2 · pith:HEOI2YUQnew · submitted 2008-07-09 · 🧮 math.AP

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

classification 🧮 math.AP
keywords associatedboundaryconditionsdecayequationgloballinearregularity
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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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