3 papers
math.AP2026
The Calderón problem for third order nonlocal wave equations with time-dependent nonlinearities and potentials
Song-Ren Fu, Yongyi Yu, Philipp Zimmermann
In this article, we study the Calderón problem for nonlocal generalizations of the semilinear Moore--Gibson--Thompson (MGT) equation and the Jordan--Moore--Gibson--Thompson (JMGT)…
math.AP2025
Reconstruction of coefficients in the double phase problem
CÄtÄlin I. Cârstea, Philipp Zimmermann
The main purpose of this article is to reconstruct the nonnegative coefficient in the double phase problem $\mathrm{div}\,(|\nabla u|^{p-2}\nabla u+a|\nabla u|^{q-2}\nabla u)=0…
math.AP2025
Hölder stability estimates for the determination of time-independent potentials in a relativistic wave equation in an infinite waveguide
Mandeep Kumar, Philipp Zimmermann
The main goal of this article is to establish Hölder stability estimates for the Calderón problem related to a relativistic wave equation. The principal novelty of this article i…