When does the heat equation have a solution with a sequence of similar level sets?
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| 003 | CHVBK | ||
| 005 | 20210128100534.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0435-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0435-1 | ||
| 245 | 0 | 0 | |a When does the heat equation have a solution with a sequence of similar level sets? |h [Elektronische Daten] |c [Tatsuki Kawakami, Shigeru Sakaguchi] |
| 520 | 3 | |a In this paper, we consider an overdetermined Cauchy problem for the heat equation. We prove that if the problem has a non-trivial nonnegative solution with a certain sequence of similar level sets, then the solution must be radially symmetric. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Heat equation |2 nationallicence | |
| 690 | 7 | |a Similar level sets |2 nationallicence | |
| 690 | 7 | |a Overdetermined Cauchy problem |2 nationallicence | |
| 700 | 1 | |a Kawakami |D Tatsuki |u Department of Mathematical Sciences, Osaka Prefecture University, 599-8531, Sakai, Japan |4 aut | |
| 700 | 1 | |a Sakaguchi |D Shigeru |u Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, 980-8579, Sendai, Japan |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/6(2015-12-01), 1595-1605 |x 0373-3114 |q 194:6<1595 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0435-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0435-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kawakami |D Tatsuki |u Department of Mathematical Sciences, Osaka Prefecture University, 599-8531, Sakai, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Sakaguchi |D Shigeru |u Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, 980-8579, Sendai, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/6(2015-12-01), 1595-1605 |x 0373-3114 |q 194:6<1595 |1 2015 |2 194 |o 10231 | ||