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This extended abstract is based on a talk given at the workshop and summer school “Direct and Inverse Problems with Applications” in the Ghent Analysis and PDE Center in August 2024. I take a look at nonlinear diffusion equations of slow and fast types and their links with some geometric and functional inequalities in the framework of smooth metric measure spaces. The article presents some introduction and background in a summer school style as well as new results.

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Nonlinear Diffusion, and Geometric and Functional Inequalities on Smooth Metric Measure Spaces

  • 会议论文

  • 发表日期：

    2025年

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  • Ali Taheri

摘要

This extended abstract is based on a talk given at the workshop and summer school “Direct and Inverse Problems with Applications” in the Ghent Analysis and PDE Center in August 2024. I take a look at nonlinear diffusion equations of slow and fast types and their links with some geometric and functional inequalities in the framework of smooth metric measure spaces. The article presents some introduction and background in a summer school style as well as new results.