Sebasti'an Munoz-Thon

Preprint Oct 2026

Local rigidity of conformally Euclidean metrics for the anisotropic Helmholtz equation at fixed energy

We prove local rigidity of smooth conformally Euclidean metrics $g_0$ on smooth compact domains $M\subset\mathbb{R}^n$, $n\ge3$, for the anisotropic Helmholtz equation $(-\Delta_g -k^2)u =0$ at a fixed energy $k^2>0$ which is not a Dirichlet eigenvalue of $-\Delta_{g_0}$ in $M$. Any smooth metric sufficiently close to...

Sebasti'an Munoz-Thon, P. Stefanov · 1 citation

Preprint Sep 2026

Local rigidity of conformally Euclidean metrics for the anisotropic Calder\'on problem

We prove local rigidity of every smooth conformally Euclidean metric for the anisotropic Calder\'on problem on smooth compact domains $M\subset\mathbb R^n$, $n\ge3$. Any smooth Riemannian metric $g$ sufficiently close to a fixed background $g_0=e^{2c}\mathsf e$ in $H^s(M)$, with integer $s>n/2+1$, having the same Diric...

Sebasti'an Munoz-Thon, P. Stefanov · 1 citation

Preprint Sep 2026

Local rigidity of conformally Euclidean metrics for the anisotropic Calder\'on problem

We prove local rigidity of every smooth conformally Euclidean metric for the anisotropic Calder\'on problem on smooth compact domains $M\subset\mathbb R^n$, $n\ge3$. Any smooth Riemannian metric $g$ sufficiently close to a fixed background $g_0=e^{2c}\mathsf e$ in $H^s(M)$, with integer $s>n/2+1$, having the same Diric...

Sebasti'an Munoz-Thon, P. Stefanov · 1 citation