A lower decay estimate for a degenerate Kirchhoff type wave equation with strong dissipation

スポンサーリンク

概要

• 論文の詳細を見る

• Consider the initial-boundary value problem for the degenerate Kirchhoff type wave equation with strong dissipation : ρ ∂2u/∂t2 − (∫ Ω |∇u(x,t)|2 dx ) Δu−δΔ ∂u /∂t = 0. For all t ≥ 0, a lower decay estimate of the solution ∥∇u(t)∥2 ≥ c (1 + t)−1 is derived when either the coefficient ρ or the initial data are appropriately smaller than the coefficient δ.

• 徳島大学の論文

著者

• Ono Kosuke

  Department Of Mathematical Sciences The University Of Tokushima

• Ono Kosuke

  Department Of Chemistry Graduate School Of Science Tohoku University

関連論文

• On global smooth solution for the quasi-linear wave equation with a dissipation
• On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
• A Note on Degenerate Kirchhoff Equations with Nonlinear Damping
• On the Blowup Problem for Nonlinear Kirchhoff Equations with Nonlinear Dissipative Terms
• Aysmptotic Behavior of Solutions for Semilinear Telegraph Equations
• A Phthalocyanine Producing Green, Ocher, and Red Colors Depending on the Central Metals
• Global Existence and Decay Properties of Solutions for Some Degenerate Nonlinear Wave Equation with a Strong Dissipation
• A lower decay estimate for a degenerate Kirchhoff type wave equation with strong dissipation
• On Existence of Global Solutions for Some Mildly Degenerate Nonlinear Kirchhoff Strings with Linear Dissipation

スポンサーリンク