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      https://www.ias.ac.in/article/fulltext/pmsc/127/05/0857-0879

    • Keywords

       

      Evolution operators; stochastic linear evolution equations; strict solutions; maximal regularity; UMD Banach spaces of type 2

    • Abstract

       

      A non-autonomous stochastic linear evolution equation in UMD Banach spaces of type 2 is considered. We construct unique strict solutions to the equation and show their maximal regularity. The abstract results are then applied to a stochastic partial differential equation.

    • Author Affiliations

       

      TÔN VIÊT TA1 ATSUSHI YAGI2 YOSHITAKA YAMAMOTO3

      1. Center for Promotion of International Education and Research of Agriculture, Faculty of Agriculture, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japan
      2. Department of Applied Physics, Graduate School of Engineering, Osaka University, 1-5 Yamadaoka, Suita-shi, Osaka 565-0871, Japan
      3. Department of Information and Physical Sciences, Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita-shi, Osaka 565-0871, Japan
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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