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Global existence for semilinear damped wave equations in relation with the Strauss conjecture. (arXiv:1807.05908v1 [math.AP])

来源于:arXiv
We study the global existence of solutions to semilinear wave equations with power-type nonlinearity and general lower order terms on $n$ dimensional nontrapping asymptotically Euclidean manifolds, when $n=3, 4$. In addition, we prove almost global existence with sharp lower bound of the lifespan for the four dimensional critical problem. 查看全文>>