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arXiv · 2011.05091

Spectral stability for the perydinamic fractional $p$-Laplacian

José C. Bellido·Alejandro Ortega
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Abstract

In this work we analyze the behavior of the spectrum of the peridynamic fractional $p$-Laplacian, $(-\Delta_p)_{\delta}^s$, under the limit process $\delta\to0^+$ or $\delta\to+\infty$. We prove spectral convergence to the classical $p$-Laplacian under a suitable scaling as $\delta\to0^+$ and to the fractional $p$-Laplacian as $\delta\to+\infty$.

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José C. Bellido, Alejandro Ortega. 2020-11-10. Spectral stability for the perydinamic fractional $p$-Laplacian. https://arxiv.org/abs/2011.05091

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