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Mean value properties of harmonic functions on Sierpinski gasket type fractals
Sierpinski gasket Laplacian harmonic function mean value property analysis on fractals
2012/6/27
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Further...
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator
A remark concerning Feynman Kac formulas for the perturbed harmonic oscillator Performance Analysis Design of Two Edge Type LDPC Codes BEC Wiretap Channel
2010/12/10
We give the solution of certain parabolic evolution problems (time-depending perturbations of the heat equation for the harmonic oscillator ) as explicit integrals on a space of continuous functions, ...