Spectral gap estimate for stable processes on arbitrary bounded open sets

• Autorzy: Kwaśnicki M.
• Języki publikacji: EN

Abstrakty

EN

In the paper we prove the lower bound estimate λ^D₂ −λD^D₁≥c(λ^D₁)^−d−α(diamD^−d−α) for the spectral gap of the Dirichlet fractional Laplacian (−(−Δ)^α/2) on an arbitrary bounded open set D⊂ R^d.

Słowa kluczowe

EN

isotropic stable process; spectral gap

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2008
• Tom: Vol. 28, Fasc. 1
• Strony: 163--167
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Kwaśnicki M.

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliografia

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