The authors establish sharp conditions on moduli of continuity for global existence versus finite-time blow-up in a weakly coupled system of structurally damped wave equations with critical nonlinearities, together with sharp lifespan estimates.
Takeda, Global existence and nonexistence of solutions for a system of nonlinear damped wave equations,J
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Blow-up and sharp lifespan estimates to the weakly coupled system of structurally damped wave equations with critical nonlinearities
The authors establish sharp conditions on moduli of continuity for global existence versus finite-time blow-up in a weakly coupled system of structurally damped wave equations with critical nonlinearities, together with sharp lifespan estimates.