Table 8.1 No . 2 records the solution to the initial value problem (8.6). Explain how this result follows from our considerations regarding (8.3) and (8.7).

Data From Equation (8.3)

Data From Problem (8.6)

Data From problem (8.7)

Data From Table 8.1

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Let (Bt)to be a BMd and f = B(Rd) such that f(x)| < Ceclxl. Then u(t, x) = EX f(B) is the unique solution to the heat equation (8.3) satisfying the growth estimate lu(t, x)| < CeClxl. ==