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Estimate of lower bound for blow-up time of solutions to fourth-order weakly coupled hyperbolic systems with strong damping terms. (Chinese. English summary) Zbl 1463.35115

Summary: We considered the lower bound for the lifespan of the solutions to a class of fourth-order nonlinear coupled hyperbolic systems. By constructing the appropriate control function, using the energy estimate method and Sobolev embedding theorem, we gave the first-order differential inequality satisfied by the control function, and gave the estimate of the lower bound for the lifespan of the solution of the problem by analyzing the properties of differential inequalities.

MSC:

35B44 Blow-up in context of PDEs
35L55 Higher-order hyperbolic systems
35L75 Higher-order nonlinear hyperbolic equations
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