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Lower bound of the lifespan of solutions to semilinear wave equations in an exterior domain
Lower bound lifespan of solutions semilinear wave equations
2010/11/30
We consider the Cauchy-Dirichlet problem for semilinear wave equations in a three space dimensional domain exterior to a bounded and non-trapping obstacle. We obtain a detailed estimate for the lower ...
Lifespan of Classical Solutions to Quasi-linear Hyperbolic Systems with Small BV Normal Initial Data
Quasi-linear hyperbolic system Weakly linear degeneracy Matching condition Normalized Coordinates Blow-up Lifespan.
2018/4/20
In this paper, we first give a lower bound of the lifespan and some estimates of classical solutions to the Cauchy problem for general quasi-linear hyperbolic systems, whose characteristic fields are ...