Large behavior of d-bar problems for domains with a smooth boundary

  • Christian Klein

    Université de Bourgogne Franche-Comté, Dijon, France
  • Johannes Sjöstrand

    Université de Bourgogne Franche-Comté, Dijon, France
  • Nikola Stoilov

    Université de Bourgogne Franche-Comté, Dijon, France
Large $|k|$ behavior of d-bar problems for domains with a smooth boundary cover

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Abstract

In this work we study the large behavior of complex geometric optics solutions to a system of d-bar equations for a potential being the characteristic function of a strictly convex set with smooth boundary, by using almost holomorphic functions. This is an extension of our previous work where we consider sets with real-analytic boundary.