S. E. Boutiah

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20172026

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Showing 2026 · math.APShow all

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math.AP2026

The $L^{1}$ -realization of an elliptic operator with unbounded coefficients

Sallah Eddine Boutiah

We establish an $L^{1}$ -theory for a class of elliptic operators with unbounded coefficients, extending our earlier semigroup generation results and those of Canale--Rhandi--Tacelli…

math.AP2026

Lower bounds for heat kernels of elliptic operators with unbounded diffusion, drift, and potential terms

Sallah Eddine Boutiah

We establish a pointwise lower bound for the heat kernel of the elliptic operator $Λ = (1 + ∣ x ∣^{α}) Δ + b ∣ x ∣^{α - 2} x \cdot \nabla - ∣ x ∣^{β}$ , where $d \geq 3$ , $α > 2$ , $β > α - 2$ , and $b \in R$ .…

math.AP2026

Uniform many-particle spectral gap inequality and heat kernel bounds for strong attractive interactions

S. E. Boutiah, D. Kinzebulatov, K. R. Madou

We prove a spectral gap inequality for Gaussian measures modified by singular attractive pair interactions. The spectral gap constant is explicit and uniform in the number of parti…

The L1-realization of an elliptic operator with unbounded coefficients

Lower bounds for heat kernels of elliptic operators with unbounded diffusion, drift, and potential terms

Uniform many-particle spectral gap inequality and heat kernel bounds for strong attractive interactions

The $L^{1}$ -realization of an elliptic operator with unbounded coefficients