4 papers · 1 filter
Notes on linear elliptic equations with -gradient perturbations and singular zero-order coefficients
Haesung Lee
In this paper, we study the existence, uniqueness, and quantitative estimates for weak solutions to linear elliptic Dirichlet problems of the form \[ -\operatorname{div}(γ\nabla u)…
A weighted semigroup approach to exponential stability in linear parabolic equations
Haesung Lee
This paper establishes the exponential -stability of the unique solutions to initial-boundary value problems for linear parabolic partial differential equations with general d…
Local elliptic regularity for solutions to stationary Fokker-Planck equations via Dirichlet forms and resolvents
Haesung Lee
In this paper, we show that, for a solution to the stationary Fokker-Planck equation with general coefficients, defined as a measure with an -density, this density not only ex…
Analysis of linear elliptic equations with general drifts and -zero-order terms
Haesung Lee
This paper provides a detailed analysis of the Dirichlet boundary value problem for linear elliptic equations in divergence form with -general drifts, where $p \in (d, \infty)…