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.
Dao, Global existence of solutions for weakly coupled systems of semi-linear structurally dampedσ-evolution models,Appl
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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.