Global weak solutions of the Cauchy problem for semilinear pseudo-hyperbolic equations |
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| Authors: | A B Aliev A A Kazymov |
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| Institution: | (1) Azerbaijan Technical University, Baku, Azerbaijan;(2) Institute for Mathematics and Mechanics, National Academy of Sciences, Baku, Azerbaijan |
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| Abstract: | The Cauchy problem for a class of semilinear pseudo-hyperbolic equations is considered. For the corresponding linear problems, we obtain L p → L q estimates. By using these estimates, we prove global solvability theorems. We also establish the behavior of solutions as t → + ∞. |
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