Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Barcelona,Spain
E-Mail: philipp.zimmermann@ub.edu
Orcid: https://orcid.org/0000-0002-6791-1779
Google Scholar: https://scholar.google.com/citations?user=YiJXYVoAAAAJ
I am a postdoctoral researcher at the Departament de Matemàtiques i Informàtica, Universitat de Barcelona in Spain. Before, I was a postdoctoral researcher at ETH Zurich, where I completed my PhD studies in 2023.
Research interests: Partial differential equations; nonlocal operators; harmonic & microlocal analysis; calculus of variations; inverse problems & imaging.
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].
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, 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].
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.
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. 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.
In the following sections, you will find:
Curriculum Vitae: Short CV.
Research Articles: Full list of research articles.
Talks: Full list of talks with links to slides.
Collaboration: List of my collaborators and academic travel.
Teaching: Overview of teaching activities together with some lecture notes.
Conferences & Seminars: Current conferences, seminars, and links to inverse problems societies.
Outreach: Description of my research.