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From Strichartz Estimates to Differential Equations on Fractals

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From Classical Analysis to Analysis on Fractals

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Abstract

Robert Strichartz made a substantial impact on analysis via his deep and original results in classical harmonic, functional, and spectral analysis and in newly developed analysis on fractals. We review the main directions of Robert Strichartz’s research and point out to connection to chapters in this volume.

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Acknowledgements

P.A.R. was supported in part by the NSF grants DMS 1855349, 1951577, and 2140664. M.H. was supported in part by the DFG IRTG 2235: “Searching for the regular in the irregular: Analysis of singular and random systems.” K.O. was supported in part by the NSF grant DMS-2205771. L.R. was supported in part by the NSF grant DMS 1950543. A.T. was supported in part by the NSF grant DMS 1613025 and the Simons Foundation. The authors thank Maria Gordina for helpful discussions related to Bob’s impact on Riemannian and sub-Riemannian geometries.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, USA

    Patricia Alonso Ruiz

  2. Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

    Michael Hinz

  3. Department of Mathematics, Tufts University, Medford, MA, USA

    Kasso A. Okoudjou

  4. Department of Mathematics, University of Connecticut, Storrs, CT, USA

    Luke G. Rogers & Alexander Teplyaev

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  1. Patricia Alonso Ruiz
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  2. Michael Hinz
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  3. Kasso A. Okoudjou
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  5. Alexander Teplyaev
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Correspondence to Alexander Teplyaev .

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Editors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, USA

    Patricia Alonso Ruiz

  2. Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

    Michael Hinz

  3. Department of Mathematics, Tufts University, Medford, MA, USA

    Kasso A. Okoudjou

  4. Department of Mathematics, University of Connecticut, Storrs, CT, USA

    Luke G. Rogers

  5. Department of Mathematics, University of Connecticut, Storrs, CT, USA

    Alexander Teplyaev

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Ruiz, P.A., Hinz, M., Okoudjou, K.A., Rogers, L.G., Teplyaev, A. (2023). From Strichartz Estimates to Differential Equations on Fractals. In: Alonso Ruiz, P., Hinz, M., Okoudjou, K.A., Rogers, L.G., Teplyaev, A. (eds) From Classical Analysis to Analysis on Fractals. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-37800-3_1

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