The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0786-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0786-1 | ||
| 245 | 0 | 4 | |a The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions |h [Elektronische Daten] |c [Piotr Biler, Cyril Imbert, Grzegorz Karch] |
| 520 | 3 | |a A degenerate nonlinear nonlocal evolution equation is considered; it can be understood as a porous medium equation whose pressure law is nonlinear and nonlocal. We show the existence of sign-changing weak solutions to the corresponding Cauchy problem. Moreover, we construct explicit compactly supported self-similar solutions which generalize Barenblatt profiles—the well-known solutions of the classical porous medium equation. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Biler |D Piotr |u Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland |4 aut | |
| 700 | 1 | |a Imbert |D Cyril |u CNRS, UMR 8050, Université Paris-Est Créteil, 61 av. du Général de Gaulle, 94010, Créteil Cedex, France |4 aut | |
| 700 | 1 | |a Karch |D Grzegorz |u Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/2(2015-02-01), 497-529 |x 0003-9527 |q 215:2<497 |1 2015 |2 215 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0786-1 |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/s00205-014-0786-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Biler |D Piotr |u Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Imbert |D Cyril |u CNRS, UMR 8050, Université Paris-Est Créteil, 61 av. du Général de Gaulle, 94010, Créteil Cedex, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Karch |D Grzegorz |u Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 215/2(2015-02-01), 497-529 |x 0003-9527 |q 215:2<497 |1 2015 |2 215 |o 205 | ||