global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition

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ID: 212030
2013
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Abstract
This work is concerned with a mixed boundary value problem for the semilinear parabolic equation with a memory term and generalized Lewis functions which depends on both spacial variable and time. Under suitable conditions, we prove the existence and uniqueness of global solutions and the energy functional decaying exponentially or polynomially to zero as the time goes to infinity by introducing brief Lyapunov function and precise priori estimates.
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fang2013abstractglobal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Zhong Bo Fang;Liru Qiu
Journal science and technology of advanced materials
Year 2013
DOI
10.1155/2013/532935
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