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- W2051244249 abstract "We wish to solve the heat equation u t = Δ u - qu in I d × ( 0 , T ) , where I is the unit interval and T is a maximum time value, subject to homogeneous Dirichlet boundary conditions and to initial conditions u ( · , 0 ) = f over I d . We show that this problem is intractable if f belongs to standard Sobolev spaces, even if we have complete information about q . However, if f and q belong to a reproducing kernel Hilbert space with finite-order weights, we can show that the problem is tractable, and can actually be strongly tractable." @default.
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- W2051244249 date "2007-08-01" @default.
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- W2051244249 title "A note on the complexity and tractability of the heat equation" @default.
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- W2051244249 doi "https://doi.org/10.1016/j.jco.2007.01.006" @default.
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