RT Journal Article
T1 Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity
A1 Filippas, Stathis
A1 Herrero, Miguel A.
A1 Velázquez, J.J. L.
AB We consider the semilinear heat equation with critical power nonlinearity. Using formal. arguments based on matched asymptotic expansion techniques, we give a detailed description of radially symmetric sign-changing solutions, which blow-up at x = 0 and t = T < ∞, for space dimension N = 3,4,5,6. These solutions exhibit fast blow-up; i.e. they satisfy lim(t up arrowT)(T - t)(1/(p-1))u(0, t) = ∞. In contrast, radial solutions that are positive and decreasing behave as in the subcritical case for any N ≥ 3. This last result is extended in the case of exponential nonlinearity and N = 2.
PB Royal Society of London
SN 1364-5021
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/57582
UL https://hdl.handle.net/20.500.14352/57582
LA eng
DS Docta Complutense
RD 17 abr 2025