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6. The Radon-Carleman Problem

  • 2023
  • OriginalPaper
  • Chapter
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Abstract

The chapter delves into the Radon-Carleman Problem, introducing Radon curves and domains, which are defined by curves of bounded rotation. It explains the significance of these concepts in solving the Dirichlet Problem for the Laplacian in non-smooth domains. The chapter also discusses the historical context and contributions of J. Radon and T. Carleman, highlighting their work on boundary integral methods and the Fredholm theory. Additionally, it explores the extension of Radon's theory to higher dimensions and the implications for solving boundary value problems in more general settings. The chapter concludes with a discussion of the Spectral Radius Conjecture and its significance in the field.

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Title
The Radon-Carleman Problem
Authors
Dorina Mitrea
Irina Mitrea
Marius Mitrea
Copyright Year
2023
DOI
https://doi.org/10.1007/978-3-031-31561-9_6
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