Exponential and Polynomial Decay for First Order Linear Volterra Evolution Equations
نویسنده
چکیده
We consider, in an abstract setting, an instance of the Coleman-Gurtin model for heat conduction with memory, that is, the Volterra integro-differential equation ∂tu(t)− β∆u(t)− ∫ t 0 k(s)∆u(t− s)ds = 0. We establish new results for the exponential and polynomial decay of solutions, by means of conditions on the convolution kernel which are weaker than the classical differential inequalities.
منابع مشابه
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