Ch. Messikh

Research

A blow up result in the Cauchy problem for a semi-linear accretive wave equation

Article January 1, 1970

We investigate the blow up of the semi - linear wave equation given by utt – Δu = |ut |p–1ut , and prove that for a given time T>0, there exist always initial data with sufficiently negative initial energy for which the solution blows up in time ≤T.