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一类非线性耗散波动方程的渐近性质(英文) 被引量:1

On the Asymptotic Property of Solutions to Some Nonlinear Dissipative Wave Equations
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摘要 本文应用先验估计的方法并结合差分不等式证明了一类非线性耗散波动方程初边值问题整体解的衰减性质 In this paper the decay of global solutions to some nonlinear dissipative wave equations are discussed, which based on the method of prior estimate technique and a differenece inequality.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第4期83-86,共4页 数学季刊(英文版)
关键词 非线性耗散波动方程 渐近性 先验估计 差分不等式 初边值问题 整体解 衰减性 nonlinear wave equation asymtotic property global solution
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参考文献6

  • 1WANG Yuan-ming. Nonlinear PartialDifferential Equation[M]. Nanjing:South-east China University Press,1992.257-311.
  • 2NAKAO M. On solutions of the wave equations with a sublinear dissipative term[J]. JDifferential Equations,1987,69:204-215.
  • 3HENRY D. Geometric Theory of Semilinear Parabolic Equations[R].Berlin:Heidelberg;New York:Springer,1981.
  • 4LIONS J L,STRASS W A. Some nonlinear evolution equations[J]. Bull Soc MathFrance,1965,13:43-96.
  • 5NAKAO M. A difference inequality and its application to nonlinear evolutioneqauations[J]. J Math Soc Japan,1978,30:747-762.
  • 6NAKAO M. On the decay of solution of some nonlinear dissipative wave equations inhigher dimensions[J]. Math Z,1986,193:227-234.

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