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- W1986184580 abstract "It is proved that there is a (weak) solution of the equation u t = a * U xx + b * g(u x ) x +f on R + (where * denotes convolution over (-∞, t)) such that u X is locally bounded. Emphasis is put on having the assumptions on the initial conditions as weak as possible. The kernels a and b are completely monotone and if a(t) = t - ∞, b(t) = t - ∞, and g(ξ) ∼ sign(ξ)|ξ| y for large ξ, then the main assumption is that α > (2y + 2)/(3y + I)β + (2y - 2)/(3y + 1)." @default.
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- W1986184580 date "1997-11-10" @default.
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- W1986184580 title "On a fractional partial differential equation with dominating linear part" @default.
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- W1986184580 doi "https://doi.org/10.1002/(sici)1099-1476(19971110)20:16<1427::aid-mma937>3.0.co;2-y" @default.
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