Ad”yutov, M. M.; Lepin, L. A. On selfsimilar solutions of nonlinear heat equation with distributed parameters in case of constant heat conduction. (Russian) Zbl 0677.35052 Zh. Vychisl. Mat. Mat. Fiz. 28, No. 1, 14-24 (1988). The authors prove non-existence results for some second order boundary value problems with conditions at infinity. Reviewer: Gh.Aniculăesei MSC: 35K55 Nonlinear parabolic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 80A20 Heat and mass transfer, heat flow (MSC2010) Keywords:selfsimilar solutions; nonlinear heat equation; distributed parameters; constant heat conduction; non-existence; conditions at infinity PDFBibTeX XMLCite \textit{M. M. Ad''yutov} and \textit{L. A. Lepin}, Zh. Vychisl. Mat. Mat. Fiz. 28, No. 1, 14--24 (1988; Zbl 0677.35052)