Research Articles

Cǎtǎlin I. Cârstea and Philipp Zimmermann. Reconstruction of coefficients in the double phase problem. 2025. arXiv: 2504.01691 [math.AP].

Song-Ren Fu, Yongyi Yu, and Philipp Zimmermann. The Calderón problem for third order nonlocal wave equations with time-dependent nonlinearities and potentials. 2025. arXiv: 2411.08657 [math.AP].

Mandeep Kumar and Philipp Zimmermann. Hölder stability estimates for the determination of time-independent potentials in a relativistic wave equation in an infinite waveguide. 2025. arXiv: 2501.17308 [math.AP]. 

Philipp Zimmermann. Optimal Runge approximation for damped nonlocal wave equations and simultaneous determination results. 2024. arXiv: 2412.02046 [math.AP]. 

Yi-Hsuan Lin and Philipp Zimmermann. Approximation and uniqueness results for the nonlocal diffuse optical tomography problem. 2024. arXiv: 2406.06226 [math.AP].

Yi-Hsuan Lin, Gen Nakamura, and Philipp Zimmermann. The Calderón problem for the Schrödinger equation in transversally anisotropic geometries with partial data. 2024. arXiv: 2408.08298 [math.AP].

Philipp Zimmermann. Calderón problem for nonlocal viscous wave equations: unique determination of linear and nonlinear perturbations. 2024. arXiv: 2402.00650 [math.AP].

Yi-Hsuan Lin and Philipp Zimmermann. Unique determination of coefficients and kernel in nonlocal porous medium equations with absorption term. 2023. arXiv: 2305.16282 [math.AP]. 

Giovanni Covi, Jesse Railo, and Philipp Zimmermann. The global inverse fractional conductivity problem. 2022. arXiv: 2204.04325 [math.AP].

Yi-Hsuan Lin, Teemu Tyni, and Philipp Zimmermann. Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. In: Calculus of Variations and Partial Differential Equations (2025). ISSN: 0944-2669, to appear.

Yi-Hsuan Lin, Jesse Railo, and Philipp Zimmermann. The Calderón problem for a nonlocal diffusion equation with time-dependent coefficients. In: Revisita Matemática Iberoamericana 21.3 (2025), pp. 1129-1172. ISSN: 0213-2230. DOI: https://doi.org/10.2171/RMI/1539.

Yi-Hsuan Lin, Teemu Tyni, and Philipp Zimmermann. Well-posedness and inverse problems for semilinear nonlocal wave equations. In: Nonlinear analysis 247 (2024), p. 113601. ISSN: /362-546X. DOI: https://doi.org/10.1016/j.na.2024.113601.

Jesse Railo and Philipp Zimmermann. Low regularity theory for the inverse fractional conductivity problem. In: Nonlinear Analysis 239 (2024), p. 113418. ISSN: 0362-546X. DOI: https://doi.org/10.1016/j.na.2023.113418.

Philipp Zimmermann. Inverse problem for a nonlocal diffuse optical tomography equation. In: Inverse Problems 39 09400 (2023). ISSN: 0266-5611 DOI: 10.1088/1361-6420/ace4ed

Giovanni Covi, Jesse Railo, Teemu Tyni, and Philipp Zimmermann. Stability estimates for the inverse fractional conductivity problem. In: SIAM J. Math. Anal. 56, no. 2 (2024): 2456-2487. ISSN: 1095-7154. DOI: https://doi.org/10.1137/22M1533542

Manas Kar, Jesse Railo, and Philipp Zimmermann. The fractional p-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems. In: Calculus of Variations and Partial Differential Equations 62.4 (2023), p. 130. ISSN: /944-2669. DOI: https://doi.org/1007/s00526-023-02468-9.

Jesse Railo and Philipp Zimmerman. Fractional Calderón problems and Poincaré inequalities on unbounded domains. In: Journal of Spectral Theory 13.1 (2023). pp. 63-131. ISSN: 1664-039X. DOI: https://doi.org/10.4171/JST/444.

Philipp Grohs, Fabian Hornung, Arnulf Jentzen, and Philipp Zimmermann. Space-time error estimates for deep neural network approximations for differential equations. In: Advances in Computational Mathematics 49.1 (2023), p. 4. ISSN: 1019-7168. DOI: https://doi.org/10.1007/s10444-022-09970-2.

Manas Kar, Yi-Hsuan Lin, and Philipp Zimmermann. Determining coefficients for a fractional p-Laplace equation from exterior measurements. In: J. Differ. Equ., 406, 338-365., 2022. ISSN: 0022-0396. DOI: https://doi.org/10.1016/j.jde.2024.07.001. 

Jesse Railo and Philipp Zimmermann. Counterexamples to uniqueness in the inverse fractional conductivity problem with partial data. In: Inverse Probl. Imaging, 2022. ISSN: 1930-8337. DOI: https://doi.org/10.3934/ipi.2022048.

Sebastian Huber, Roman Süsstrunk, and Philipp Zimmermann. Switchable topological phonon channels. New Journal of Phys. 2017. ISSN: 1367-2630. DOI: https://doi.org/10.1088/1367-2630/aa591c.