A blow up result in the Cauchy problem for a semi-linear accretive wave equation
Keywords:
Wave equation, Negative initial energy, blow up, finite time
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.
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How to Cite
Ch. Messikh. (2011). A blow up result in the Cauchy problem for a semi-linear accretive wave equation. Global Journal of Science Frontier Research, 11(4), 1–9. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/242
Published
2011-03-15
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Articles
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Copyright (c) 2011 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.