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Contact Information
Contact Information
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
About Me
About Me
I am a Postdoctoral Researcher in the Department of Mathematics and Computer Science at the University of Barcelona. I earned my Ph.D. in Mathematics at ETH Zurich in 2023 under the supervision of Patrick Cheridito and Joaquim Serra. My research lies at the interface of partial differential equations (PDEs) and inverse problems, with the overarching goal of recovering hidden structures in mathematical models from indirect measurements.
Research interests: Partial differential equations; nonlocal operators; harmonic & microlocal analysis; calculus of variations; inverse problems & imaging.
Selected Articles
Selected 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].
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 64, 280 (2025). ISSN: 0944-2669. DOI: https://doi.org/10.1007/s00526-025-03124-0.
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.
Additional Information
Additional Information
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, books & wikis about PDEs/inverse problems, and external homepages about mathematics.
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