In general the method of group foliation reduction using a separation ansatz as illustrated in this paper is able to yield exact solutions to nonlinear 2nd order PDEs with power nonlinearities.
In this section, we discuss the extent to which the conclusions of Theorem 2.1 extend beyond πd being an i.i.d. product density upon the d-dimensional hypercube and Xd0∼πd. First we present two extensions of Theorem 2.1. The second extension, Theore…
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