Viscosity solutions to a parabolic inhomogeneous equation associated with infinity Laplacian
Gespeichert in:
Verfasser / Beitragende:
[Fang Liu, Xiao Yang]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/2(2015-02-01), 255-271
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3244-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3244-6 | ||
| 245 | 0 | 0 | |a Viscosity solutions to a parabolic inhomogeneous equation associated with infinity Laplacian |h [Elektronische Daten] |c [Fang Liu, Xiao Yang] |
| 520 | 3 | |a We obtain the existence and uniqueness results of viscosity solutions to the initial and boundary value problem for a nonlinear degenerate and singular parabolic inhomogeneous equation of the form $u_t - \Delta _\infty ^N u = f$ , where Δ ∞ N denotes the so-called normalized infinity Laplacian given by $\Delta _\infty ^N u = \frac{1} {{|Du|^2 }}\left\langle {D^2 uDu,Du} \right\rangle $ . | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Parabolic equation |2 nationallicence | |
| 690 | 7 | |a infinity Laplacian |2 nationallicence | |
| 690 | 7 | |a viscosity solution |2 nationallicence | |
| 690 | 7 | |a inhomogeneous equation |2 nationallicence | |
| 690 | 7 | |a comparison principle |2 nationallicence | |
| 690 | 7 | |a existence |2 nationallicence | |
| 700 | 1 | |a Liu |D Fang |u Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China |4 aut | |
| 700 | 1 | |a Yang |D Xiao |u Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 255-271 |x 1439-8516 |q 31:2<255 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3244-6 |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/s10114-015-3244-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Liu |D Fang |u Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Yang |D Xiao |u Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 255-271 |x 1439-8516 |q 31:2<255 |1 2015 |2 31 |o 10114 | ||