| Abstract: |
| We consider some initial-boundary value problems for a class of nonlinear hyperbolic equations of the fourth order with time dependent coefficients, whose solution $u(x,t)$ may or may not blow up in finite time. Under suitable conditions on data, a lower bound for $t^*$ is derived, where $[0,t^*)$ is the time interval of existence of $u(x,t).$
Moreover we discuss some extensions for some classes of nonlinear fourth order hyperbolic systems. |
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