caa a22 4500 605462151 CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10114-015-3244-6 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3244-6 Viscosity solutions to a parabolic inhomogeneous equation associated with infinity Laplacian [Elektronische Daten] [Fang Liu, Xiao Yang] 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 $ . Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Parabolic equation nationallicence infinity Laplacian nationallicence viscosity solution nationallicence inhomogeneous equation nationallicence comparison principle nationallicence existence nationallicence Liu Fang Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China aut Yang Xiao Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/2(2015-02-01), 255-271 1439-8516 31:2<255 2015 31 10114 https://doi.org/10.1007/s10114-015-3244-6 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3244-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Fang Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China aut NATIONALLICENCE 700 1- Yang Xiao Department of Applied Mathematics, School of Science, Nanjing University of Science & Technology, 210094, Nanjing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/2(2015-02-01), 255-271 1439-8516 31:2<255 2015 31 10114