Velázquez, J.J. L.Galaktionov, V. A.Herrero, Miguel A.2023-06-202023-06-2019910965-5425https://hdl.handle.net/20.500.14352/57709Positive solutions of the semilinear parabolic equations u(t) - u(xx) = u(p), p > 1 and u(t) - u(xx) = e(u) for - ∞ < x < + ∞, t > 0 which blow up at a single point x = 0 at a finite instant of time t = T > 0 are considered. Using formal methods, a description is given of the types of possible asymptotic behaviour of the solutions as (x, t)--> (0, T).engjournal articlehttp://www.mathnet.ru/links/e4ba9648dc99d5b162073772ae6134ba/zvmmf3115.pdfhttp://www.mathnet.ruopen access517.956.4536.2Blow-up of a positive solutionsingle-point blow-upformal expansionsEcuaciones diferenciales1202.07 Ecuaciones en Diferencias