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Showing 2014 · math.APShow all
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math.AP2014★ 15 cited
Coleman-Gurtin type equations with dynamic boundary conditions
Ciprian G. Gal, Joseph L. Shomberg
We present a new formulation and generalization of the classical theory of heat conduction with or without fading memory which includes the usual heat equation subject to a dynamic…
math.AP2014★ 1 cited
Exponential Decay Results for Semilinear Parabolic PDE with Potentials: A "Mean Value" Approach
Joseph L. Shomberg
The asymptotic behavior of some semilinear parabolic PDEs is analyzed by means of a "mean value" property. This property allows us to determine, by means of appropriate {\em{a prio…