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Heat Kernels in Sub-Riemannian Settings

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1977)

Abstract

In this lectures we present a series of results concerning a class of diffusion second order PDE’s of heat-type. The results we show have been obtained in collaboration with M.Bramanti, L.Brandolini and F. Uguzzoni (see [9], [10], [24]). The exended version of the main results presented in these notes is contained in [10].

Keywords

  • Green Function
  • Fundamental Solution
  • Heat Kernel
  • Real Hypersurface
  • Harnack Inequality

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Ermanno Lanconelli .

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Lanconelli, E. (2009). Heat Kernels in Sub-Riemannian Settings. In: Chang, SY., Ambrosetti, A., Malchiodi, A. (eds) Geometric Analysis and PDEs. Lecture Notes in Mathematics(), vol 1977. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01674-5_2

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