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The "hot spots" conjecture on the Vicsek set
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| Zeitschriftentitel: | Demonstratio Mathematica |
|---|---|
| Personen und Körperschaften: | , |
| In: | Demonstratio Mathematica, 52, 2019, 1, S. 61-81 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
|
| Schlagwörter: |
| author_facet |
Ionescu, Marius Savage, Thomas L. Ionescu, Marius Savage, Thomas L. |
|---|---|
| author |
Ionescu, Marius Savage, Thomas L. |
| spellingShingle |
Ionescu, Marius Savage, Thomas L. Demonstratio Mathematica The "hot spots" conjecture on the Vicsek set General Mathematics |
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ionescu, marius |
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Ionescu, Marius Savage, Thomas L. 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0003 <jats:title>Abstract</jats:title> <jats:p>We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.</jats:p> The "hot spots" conjecture on the Vicsek set Demonstratio Mathematica |
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Walter de Gruyter GmbH, 2019 |
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Walter de Gruyter GmbH, 2019 |
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2019 |
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Demonstratio Mathematica |
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| title |
The "hot spots" conjecture on the Vicsek set |
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The "hot spots" conjecture on the Vicsek set |
| title_full |
The "hot spots" conjecture on the Vicsek set |
| title_fullStr |
The "hot spots" conjecture on the Vicsek set |
| title_full_unstemmed |
The "hot spots" conjecture on the Vicsek set |
| title_short |
The "hot spots" conjecture on the Vicsek set |
| title_sort |
the "hot spots" conjecture on the vicsek set |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.1515/dema-2019-0003 |
| publishDate |
2019 |
| physical |
61-81 |
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<jats:title>Abstract</jats:title>
<jats:p>We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.</jats:p> |
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| author | Ionescu, Marius, Savage, Thomas L. |
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| description | <jats:title>Abstract</jats:title> <jats:p>We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.</jats:p> |
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| imprint_str_mv | Walter de Gruyter GmbH, 2019 |
| institution | DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161 |
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| physical | 61-81 |
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| spelling | Ionescu, Marius Savage, Thomas L. 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0003 <jats:title>Abstract</jats:title> <jats:p>We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.</jats:p> The "hot spots" conjecture on the Vicsek set Demonstratio Mathematica |
| spellingShingle | Ionescu, Marius, Savage, Thomas L., Demonstratio Mathematica, The "hot spots" conjecture on the Vicsek set, General Mathematics |
| title | The "hot spots" conjecture on the Vicsek set |
| title_full | The "hot spots" conjecture on the Vicsek set |
| title_fullStr | The "hot spots" conjecture on the Vicsek set |
| title_full_unstemmed | The "hot spots" conjecture on the Vicsek set |
| title_short | The "hot spots" conjecture on the Vicsek set |
| title_sort | the "hot spots" conjecture on the vicsek set |
| title_unstemmed | The "hot spots" conjecture on the Vicsek set |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1515/dema-2019-0003 |