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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>>