S. E. Boutiah

activity

20172026

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4 papers · 1 filter

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…

math.PR2026

Strong solutions of SDEs with critical discontinuities in diffusion coefficients

S. E. Boutiah, D. Kinzebulatov

We prove strong existence for Itô SDEs with diffusion coefficients that can introduce strong attraction to a submanifold. We extend and strengthen the Röckner-Zhao approach, which…

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

Strong solutions of SDEs with critical discontinuities in diffusion coefficients

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