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Critical exponent for nonlinear damped wave equations with non-negative potential in 3D. (arXiv:1810.05956v1 [math.AP])

来源于:arXiv
We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients. 查看全文>>