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Uniform decay of solutions for viscoelastic problem with nonlinear boundary damping and memory term

Jeong Ja Bae
대한수학회 (The Korean Mathematical Society)|2005.01|대한수학회지 (Journal of the KMS)|제42권 제1호|pp. 37-52

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Abstract

We consider the existence of solutions of viscoelas-tic degenerate problem of Kirchho?? type with nonlinear bound-ary damping and memory term. Moreover,we consider the uniform decay of the energy for the problem.

참고문헌 (10)

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  3. V. Georgiev, "Existence of a solution of the wave equations with nonlinear damping and source terms", 109, pp.295~308 (1994)
  4. S. Jiang, "A global existence for the Dirichlet problems in nonlinear n-dimensional viscoelasticity", 9(4), pp.791~810 (1996)
  5. "Quasilinear hyperbolic-hyperbolic singular perturbation with no-nmonotone nonlinearity", 35, pp.589~607 (1999)
  6. "On global solutions and energy decay for the wave equations of Kirchho type with nonlinear damping terms", 204, pp.729~753 (1996)
  7. "Nonlinear vibration of an elastic string", 8, pp.134~146 (1968)
  8. "On coupled wave equation of Kirchho type with non-linear boundary damping and memory term", 129(1), pp.87~105 (2002)
  9. "Uniform decay of solution for wave equation of Kirchho type with non-linear boundary damping and memory term", 50(7), pp.871~884 (2002)
  10. "On a quasilinear wave equation with memory", 16(1), pp.61~78 (1991)

관련 논문AI추천

Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary김대욱영남수학회 · East Asian Mathematical Journal2018 · 제34권 제1호General Decay of Solutions for Viscoelastic Equation with Nonlinear Source Terms강수진, 신기연영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호General decay for a semilinear wave equation with boundary frictional and memory conditions박선혜대한수학회 · 대한수학회보2014 · 제51권 제3호On uniform decay of wave equation of Carrier model subject to memory condition at the boundary윤석봉, 진범자대한수학회 · 대한수학회지2007 · 제44권 제4호GENERAL DECAY OF SOLUTIONS OF NONLINEAR VISCOELASTIC WAVE EQUATION강수진, 신기연영남수학회 · East Asian Mathematical Journal2016 · 제32권 제5호Global Existence and Stability for Euler-Bernoulli Beam Equation with memory condition at the boundary김정애, 박종열대한수학회 · 대한수학회지2005 · 제42권 제6호

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