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Heat kernel estimates for an operator with unbounded diffusion coefficients in ℝ and ℝ2

✍ Scribed by Spina, C.

Book ID
111949725
Publisher
Springer
Year
2012
Tongue
English
Weight
575 KB
Volume
86
Category
Article
ISSN
0037-1912

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Logarithmic Derivatives of Heat Kernels
Logarithmic Derivatives of Heat Kernels and Logarithmic Sobolev Inequalities with Unbounded Diffusion Coefficients on Loop Spaces
✍ Shigeki Aida 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 294 KB

dedicated to professor norio shimakura on the occasion of his sixtieth birthday In this paper, we will give a sufficient condition on the logarithmic derivative of the heat kernel under which a logarithmic Sobolev inequality (LSI, in abbreviation) on a loop space holds. As an application, we prove