Viscosity Solutions to a Parabolic Inhomogeneous Equation Associated with Infinity Laplacian

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 ut-△ ∞N u=f, where An denotes the so-called normalized infinity Laplacian given by △∞ Nu=1/｜Du｜2〈D2uDu,...

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Veröffentlicht in:	Acta mathematica Sinica. English series 2015-02, Vol.31 (2), p.255-271
Hauptverfasser:	Liu, Fang, Yang, Xiao Ping
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Boundary value problems Infinity Laplace transforms Mathematical analysis Mathematics Mathematics and Statistics Nonlinearity Studies Texts Uniqueness Viscosity 不均匀关联抛物线方程拉普拉斯粘度线性退化边值问题非齐次
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Beschreibung
Zusammenfassung:	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 ut-△ ∞N u=f, where An denotes the so-called normalized infinity Laplacian given by △∞ Nu=1/｜Du｜2〈D2uDu,Du〉.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-015-3244-6