화학공학소재연구정보센터
Applied Mathematics and Optimization, Vol.84, No.SUPPL 1, S253-S276, 2021
Spectral Stability for the Peridynamic Fractional p-Laplacian
In this work we analyze the behavior of the spectrum of the peridynamic fractional p-Laplacian, (-Delta(p))(delta)(s), under the limit process delta -> 0(+) or delta -> +infinity. We prove spectral convergence to the classical p-Laplacian under a suitable scaling as delta -> 0(+) and to the fractional p-Laplacian as delta -> +infinity.