Viscosity solutions of porous media type equation with low order terms

Viscosity solutions of porous media type equation with low order terms

(Russian, English abstract)

Tersenov Al. S., Tersenov Ar. S.
Siberian Electronic Mathematical Reports, 22, 2, pp. 1552-1565 (2025)

УДК 517.95 
DOI: 10.33048/semi.2025.22.094  
MSC 35A01, 35D40


Abstract:

In this article, sufficient conditions are given for the existence of a viscosity solution to the first initial boundary value problem for the equation of porous media type with low order terms.

Keywords: porous media equation, viscosity solution.