Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients

2024/12/20 by Davide Addona, Addona, Davide, Luca Lorenzi +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2412.15935

Abstract

We provide pointwise upper bounds for the transition kernels of semigroups associated with a class of systems of nondegenerate elliptic partial differential equations with unbounded coefficients with possibly unbounded diffusion coefficients, which may vary equation by equation.

Cited by

• L^p-quasicontractiveness and Kernel estimates for semigroups generated by systems of elliptic operators

Related

• Kernel bounds for parabolic operators having first-order degeneracy at the boundary
• Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential term
• Kernel estimates for elliptic operators with unbounded diffusion, drift and potential terms
• L^p-quasicontractiveness and Kernel estimates for semigroups generated by systems of elliptic operators
• Hölder estimates for non-local parabolic equations with critical drift