3 papers
math.AP2026
Remarks on well-posedness for linear elliptic equations via divergence-free transformation
Haesung Lee
This paper investigates the well-posedness of linear elliptic equations, focusing on the divergence-free transformation introduced in the author's recent work [J. Math. Anal. Appl.…
math.AP2026
Quantitative analysis for -estimates in linear elliptic equations via divergence-free transformation
Haesung Lee
This paper establishes an explicit -estimate for weak solutions to linear elliptic equations in divergence form with general coefficients and external source term , sta…
math.NA2024
Robust error estimates of PINN in one-dimensional boundary value problems for linear elliptic equations
Jihahm Yoo, Haesung Lee
In this paper, we study physics-informed neural networks (PINN) to approximate solutions to one-dimensional boundary value problems for linear elliptic equations and establish robu…