GENERAL DECAY OF A TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATIONS WITH BOUNDARY MEMORY CONDITION

doi:10.1016/S0252-9602(14)60091-6

Abstract

Abstract:

In this paper, we investigate the influence of boundary dissipation on the de-cay property of solutions for a transmission problem of Kirchhoff type wave equation with boundary memory condition. By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of relaxation function.

Key words: transmission problem, Kirchhoff type, general decay, memory term, relaxation function

CLC Number:

35L70

Sun Hye PARK. GENERAL DECAY OF A TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATIONS WITH BOUNDARY MEMORY CONDITION[J].Acta mathematica scientia,Series B, 2014, 34(5): 1395-1403.

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References

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