Timeline for Does there exist a real-valued function on the hyperbolic plane which has bounded hessian norm and unbounded gradient norm?
Current License: CC BY-SA 4.0
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May 29, 2020 at 2:56 | comment | added | Anton Petrunin | @Doggyy Since Hessian is bounded, $|\nabla f|$ is Lipschitz. Therefore $f$ is Lipschitz in a ball $B(p,R)$ with constant $L= L(|\nabla_pf|, R)$. | |
May 29, 2020 at 2:25 | comment | added | ccriscitiello | Thanks for your response. How do we know the sequence of functions $\phi_n$ has a pointwise convergent subsequence? | |
Apr 22, 2020 at 2:15 | history | undeleted | Anton Petrunin | ||
Apr 22, 2020 at 2:15 | history | edited | Anton Petrunin | CC BY-SA 4.0 |
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Apr 22, 2020 at 2:03 | history | edited | Anton Petrunin | CC BY-SA 4.0 |
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Apr 22, 2020 at 2:01 | history | deleted | Anton Petrunin | via Vote | |
Apr 22, 2020 at 1:43 | history | answered | Anton Petrunin | CC BY-SA 4.0 |