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

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Ch. Messikh
Ch. Messikh
1 University Badji Mokhtar

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GJSFR Volume 11 Issue 4

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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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No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Ch. Messikh. 1970. \u201cA blow up result in the Cauchy problem for a semi-linear accretive wave equation\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 4): .

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July 6, 2011

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English

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

Ch. Messikh
Ch. Messikh University Badji Mokhtar

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