Asymptotic behavior of solutions for a semilinear dissipative wave equations

研究成果: Article

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We investigate asymptotic property of the solution to the boundary value problem (BV) for the semilinear Euler-Poisson-Darboux type equation as t tends to ∞. Applying this result to the boundary value problem of the semilinear wave equation with a nonlinear dissipation we show the optimality of the decay estimate. Also we discuss the optimality of the decay estimates and lower bounds of solutions the mixed problem corresponding to (BV).

元の言語English
ページ(範囲)2527-2537
ページ数11
ジャーナルNonlinear Analysis, Theory, Methods and Applications
47
発行部数4
DOI
出版物ステータスPublished - 01-08-2001

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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