Cole Jeznach

collaborators

4 papers

math.AP2026

Optimal rates of decay at infinity for solutions to SchrÃ¶dinger equations

Blair Davey, Cole Jeznach

We prove rates of decay at infinity for solutions to variable-coefficient SchrÃ¶dinger equations of the form $- div (A \nabla u) + W \cdot \nabla u + V u = I^» u$ in cylinders,…

math.AP2026

Singular set estimates for solutions to elliptic equations in higher co-dimension

Max Engelstein, Cole Jeznach, Yannick Sire

Recent advances in quantitative unique continuation properties for solutions to uniformly elliptic, divergence form equations (with Lipschitz coefficients) has led to a good unders…

math.AP2025

Elliptic unique continuation below the Lipschitz threshold

Cole Jeznach

In this article, we investigate unique continuation principles for solutions $u$ of uniformly elliptic equations of the form $- div (A \nabla u) = 0$ when $A$ is less regula…

math.AP2025

On the number of nodal domains of homogeneous caloric polynomials

Matthew Badger, Cole Jeznach

We investigate the minimum and maximum number of nodal domains across all time-dependent homogeneous caloric polynomials of degree $d$ in $R^{n} \times R$ (space $\…