https://web.ma.utexas.edu/mediawiki/index.php?action=history&feed=atom&title=Talk%3ABoundary_Harnack_inequality 2026-05-10T14:21:08Z Revision history for this page on the wiki MediaWiki 1.40.1 https://web.ma.utexas.edu/mediawiki/index.php?title=Talk:Boundary_Harnack_inequality&diff=1092&oldid=prev 2012-02-16T22:56:15Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:56, 16 February 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Boundary Harnack inequalities (BHI) have been studied by many people over the last years. It would be interesting to see an example of a non-degenerate nonlocal operator where BHI fails.</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Boundary Harnack inequalities (BHI) have been studied by many people over the last years</del>. <del style="font-weight: bold; text-decoration: none;">It would be interesting to see </del>an example <del style="font-weight: bold; text-decoration: none;">of a non-degenerate nonlocal operator </del>where BHI <del style="font-weight: bold; text-decoration: none;">fails</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">That is true. The article is stub now</ins>. <ins style="font-weight: bold; text-decoration: none;">As of yet, there isn't </ins>an example where BHI <ins style="font-weight: bold; text-decoration: none;">holds either</ins>. <ins style="font-weight: bold; text-decoration: none;">([[User:Luis|Luis]] 16:56, 16 February 2012 (CST))</ins></div></td></tr> </table>

imported>Luis https://web.ma.utexas.edu/mediawiki/index.php?title=Talk:Boundary_Harnack_inequality&diff=1091&oldid=prev 2012-02-16T20:58:00Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:58, 16 February 2012</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br/></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Boundary Harnack inequalities (BHI) have been studied by many people over the last years. It would be interesting to see an example of a <ins style="font-weight: bold; text-decoration: none;">non-degenerate </ins>nonlocal operator where BHI fails.</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Boundary Harnack inequalities (BHI) have been studied by many people over the last years. <del style="font-weight: bold; text-decoration: none;">Assumptions were relaxed more and more. One might think that for nonlocal operators (BHI) is easier to be proved than for local operators.  </del>It would be interesting to see an example of a <del style="font-weight: bold; text-decoration: none;">decent </del>nonlocal operator where BHI fails.</div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

imported>Moritz https://web.ma.utexas.edu/mediawiki/index.php?title=Talk:Boundary_Harnack_inequality&diff=1090&oldid=prev 2012-02-16T20:55:36Z

<p>A personal comment on boundary Harnack for nonlocal operators</p> <p><b>New page</b></p><div><br /> <br /> Boundary Harnack inequalities (BHI) have been studied by many people over the last years. Assumptions were relaxed more and more. One might think that for nonlocal operators (BHI) is easier to be proved than for local operators. It would be interesting to see an example of a decent nonlocal operator where BHI fails.</div>

imported>Moritz