Abstract
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.
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.
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