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Regularity of Solutions of Obstacle Problems –Old & New–

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Nonlinear Partial Differential Equations for Future Applications (PDEFA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 346))

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Abstract

Two kinds of machinery to show regularity of solutions of bilateral/unilateral obstacle problems are presented. Some generalizations of known results in the lit- erature are included. Several important open problems in the topics are given.

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Authors and Affiliations

  1. Department of Applied Physics, Waseda University, Okubo, Shinjuku, Tokyo, 169-8555, Japan

    Shigeaki Koike

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  1. Shigeaki Koike
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Correspondence to Shigeaki Koike .

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Editors and Affiliations

  1. Department of Applied Physics, Waseda University, Tokyo, Japan

    Shigeaki Koike

  2. Department of Mathematics, Waseda University, Tokyo, Japan

    Hideo Kozono

  3. Mathematical Institute, Tohoku University, Sendai, Japan

    Takayoshi Ogawa

  4. Graduate School of Information Sciences, Tohoku University, Sendai, Japan

    Shigeru Sakaguchi

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Koike, S. (2021). Regularity of Solutions of Obstacle Problems –Old & New–. In: Koike, S., Kozono, H., Ogawa, T., Sakaguchi, S. (eds) Nonlinear Partial Differential Equations for Future Applications. PDEFA 2017. Springer Proceedings in Mathematics & Statistics, vol 346. Springer, Singapore. https://doi.org/10.1007/978-981-33-4822-6_6

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