Acta mathematica scientia, Series B >
SOLUTIONS TO A CLASS OF PARABOLIC INHOMOGENEOUS NORMALIZED p-LAPLACE EQUATIONS
Received date: 2014-04-15
Revised date: 2014-08-10
Online published: 2015-03-20
Supported by
This work is supported by the National Natural Science Foundation of China (11071119, 11171153).
In this article, we prove that viscosity solutions of the parabolic inhomogeneous equations
(n+p)/put-ΔpNu=f(x,t)
can be characterized using asymptotic mean value properties for all p≥1, including p = 1 and p = ∞. We also obtain a comparison principle for the non-negative or non-positive inhomogeneous term f for the corresponding initial-boundary value problem and this in turn implies the uniqueness of solutions to such a proble
Fang LIU . SOLUTIONS TO A CLASS OF PARABOLIC INHOMOGENEOUS NORMALIZED p-LAPLACE EQUATIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(2) : 477 -494 . DOI: 10.1016/S0252-9602(15)60016-9
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