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- W1990106735 abstract "We generalize a previous result of Ikehata (Math. Methods Appl. Sci., in press), which studies the critical exponent problem of a semilinear damped wave equation in the one-dimensional half space, to the general N -dimensional half space case. That is to say, one can show the small data global existence of solutions of a mixed problem for the equation u tt − Δu + u t =| u | p with the power p satisfying p ∗ (N)=1+2/(N+1)<p⩽N/[N−2] + if we deal with the problem in the N -dimensional half space." @default.
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- W1990106735 date "2003-12-01" @default.
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- W1990106735 title "Critical exponent for semilinear damped wave equations in the N-dimensional half space" @default.
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- W1990106735 doi "https://doi.org/10.1016/j.jmaa.2003.09.029" @default.
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