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Sobolev Spaces via Upper Gradients in Non-Smooth Setting

[HYBRID WORKSHOP] Connections Workshop: The Analysis and Geometry of Random Spaces January 19, 2022 - January 21, 2022

January 19, 2022 (09:00 AM PST - 09:50 AM PST)
Speaker(s): Nageswari Shanmugalingam (University of Cincinnati)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Tags/Keywords
  • Upper gradients

  • Modulus of path-families

  • Newton-Sobolev

  • doubling measure

  • Poincare inequality

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
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Sobolev Spaces Via Upper Gradients In Non-Smooth Setting

Abstract

This talk will be an introduction to first order analysis on non-smooth spaces using the approach of upper gradients. The talk will be accessible to anyone with knowledge of measure theory, but an introductory knowledge of classical Sobolev spaces in Euclidean domains would be helpful.

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Sobolev Spaces Via Upper Gradients In Non-Smooth Setting

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