2 papers
math.AP2025
Existence of stationary solutions of supercritical nonlinear Schr{ö}dinger equations on some metric graphs
Nabile Boussaïd, Jack Borthwick
We consider the existence of stationary wave solutions with prescribed mass to a supercritical nonlinear Schr{ö}dinger equation on a noncompact connected metric graph without a sm…
math.AP2025
Inverse problems for the Bakry-Ãmery Laplacian on manifolds with boundary -- uniqueness and non-uniqueness
Jack Borthwick, Niky Kamran
We study the questions of uniqueness and non-uniqueness for a pair of closely related inverse problems for the Bakry-Ãmery Laplacian on a smooth compact and ori…