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- W577189275 abstract "We study the Cauchy problem for the nonlinear Klein-Gordon equation with a cubic convolution ${V_{gamma}*(w(t))^{2}}w(t)$, where $V_{gamma}(x)=|x|^{-gamma}$, in $(x,t) in mathbf{R}^{n}times mathbf{R}$. We prove the existence of weak solutions for $0 lt gamma lt$. We also prove that for $0ltgammalt{rm Min}{4, n}$ the weak solution is unique and there exists a regular solution." @default.
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- W577189275 date "1988-12-01" @default.
- W577189275 modified "2023-09-26" @default.
- W577189275 title "On the Cauchy problem for the nonlinear Klein-Gordon equation with a cubic convolution" @default.
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- W577189275 doi "https://doi.org/10.21099/tkbjm/1496160835" @default.
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