We study the diffusion equation in the absence of instantaneous elasticity
where , subjected to nonlinear boundary conditions. We prove that if the relaxation function g decays exponentially, then the solutions is exponential stable.
Submitted December 18, 2011. Published May 10, 2012.
Math Subject Classifications: 35B05, 35L05, 35L15, 35L70.
Key Words: Diffusion equation; instantaneous elasticity; exponential decay; relaxation function; viscoelastic.
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| Mohammad Kafini |
Department of Mathematics and Statistics
KFUPM, Dhahran 31261
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