Viscosity solutions to a parabolic inhomogeneous equation associated with infinity Laplacian

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)
ID: 605462151
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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