Calculus of Variations and Geometric Measure Theory
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E. Mainini - G. Mola

Exponential and polynomial decay for first order linear Volterra evolution equations

created by mainini on 15 Feb 2009
modified on 18 Mar 2009


Published Paper

Inserted: 15 feb 2009
Last Updated: 18 mar 2009

Journal: Quart. Appl. Math.
Volume: 67
Pages: 93-111
Year: 2009


We consider, in an abstract setting, a Volterra integro-differential equation which is an instance of the Coleman-Gurtin model for heat conduction with memory. 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.


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