Calculus of Variations and Geometric Measure Theory

V. Chepyzhov - E. Mainini - V. Pata

Stability of abstract linear semigroups arising from heat conduction with memory

created by mainini on 14 Feb 2009
modified on 15 Feb 2009


Published Paper

Inserted: 14 feb 2009
Last Updated: 15 feb 2009

Journal: Asymp. Anal.
Volume: 50
Number: 3-4
Pages: 269-291
Year: 2006


We establish some decay properties of the semigroup generated by a linear integro-differential equation in a Hilbert space, which is an abstract version of a model describing hereditary heat conduction.

Keywords: stability, hereditary heat conduction, memory kernels, contraction semigroups