Spectral Stability for the Peridynamic Fractional p-Laplacian

In this work we analyze the behavior of the spectrum of the peridynamic fractional p -Laplacian, ( - Δ p ) δ s , under the limit process δ → 0 + or δ → + ∞ . We prove spectral convergence to the classical p -Laplacian under a suitable scaling as δ → 0 + and to the fractional p -Laplacian as δ → + ∞...

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Veröffentlicht in:	Applied mathematics & optimization 2021-12, Vol.84 (Suppl 1), p.253-276
Hauptverfasser:	Bellido, José C., Ortega, Alejandro
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Calculus of Variations and Optimal Control Optimization Control Eigenvalues Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Matrix Numerical and Computational Physics Optimization Simulation Stability analysis Systems Theory Theoretical
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Beschreibung
Zusammenfassung:	In this work we analyze the behavior of the spectrum of the peridynamic fractional p -Laplacian, ( - Δ p ) δ s , under the limit process δ → 0 + or δ → + ∞ . We prove spectral convergence to the classical p -Laplacian under a suitable scaling as δ → 0 + and to the fractional p -Laplacian as δ → + ∞ .
ISSN:	0095-4616 1432-0606
DOI:	10.1007/s00245-021-09768-6