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Velázquez, J.J. L. ; Galaktionov, V. A. ; Posashkov, S. A. ; Herrero, Miguel A. | Pergamon-Elsevier Science | 1993The authors study asymptotic behaviour of positive solutions of equations of the type ut =??(u)±Q(u), where ?? and Q are given positive functions. By determining an auxiliary function F(u) appearing in an expression posed by A. Friedman and B. M[...]texto impreso
Positive solutions of the semilinear parabolic equations u(t) - u(xx) = u(p), p > 1 and u(t) - u(xx) = e(u) for - ? 0 which blow up at a single point x = 0 at a finite instant of time t = T > 0 are considered. Using formal me[...]texto impreso
We consider nonnegative solutions of the semilinear parabolic equation u t —u xx + u p = 0, -? 0, 0
