A blow up result in the Cauchy problem for a semi-linear accretive wave equation
Wave equation, Negative initial energy, blow up, finite time
Abstract
We investigate the blow up of the semi -linear wave equation given by u tt -Δu = |u t | p-1 u t , 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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2011-07-06
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