Cherkasov, I. D. Positive and probabilistic solutions of one-dimensional quasilinear parabolic differential equations. (English. Russian original) Zbl 1005.35027 Differ. Equ. 37, No. 8, 1160-1167 (2001); translation from Differ. Uravn. 37, No. 8, 1108-1114 (2001). This paper deals with the closed-form everywhere nonnegative solutions of some classes of quasilinear one-dimensional parabolic differential equations. The author presents theorems that singled out probabilistic solutions (which are relevant for applications) from the set of positive solutions. Reviewer: Messoud Efendiev (Berlin) MSC: 35C05 Solutions to PDEs in closed form 35K55 Nonlinear parabolic equations Keywords:nonnegative solution PDF BibTeX XML Cite \textit{I. D. Cherkasov}, Differ. Equ. 37, No. 8, 1160--1167 (2001; Zbl 1005.35027); translation from Differ. Uravn. 37, No. 8, 1108--1114 (2001) Full Text: DOI