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We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperimetric inequalities, using Ledoux’s argument, and… Click to show full abstract
We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperimetric inequalities, using Ledoux’s argument, and uniform quantitative gradient estimates, firstly for $$C^2_b$$Cb2 functions with boundary conditions and then for the unit spectral projection operators of Dirichlet and Neumann Laplacians.
Keywords:
gradient estimates;
manifolds boundary;
uniform gradient;
estimates manifolds;
gradient;
boundary applications
Journal Title: Analysis and Mathematical Physics
Year Published: 2018
Link to full text (if available)
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Journal Title: Analysis and Mathematical Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!