An extension of Dickstein’s “small lambda” theorem for finite time blowup Original Research Article

In this paper we prove for View the MathML source10 such that the solution uu of the equation ut−Δu=|u|p−1uut−Δu=|u|p−1u with u(0)=λφu(0)=λφ blows up in finite time for all View the MathML source0<λ<λ¯. This extends a similar result of Dickstein who treated the case ∫RNφ≠0∫RNφ≠0 and View the MathML source1