Answer Happy

Use the Fourier transform to obtain an explicit solution
of
the equation: 𝛥𝑢 + 𝑖
𝜕𝑢
𝜕𝑡= 0, in 𝑅^𝑛 x(0, ∞).
Subject to the condition: u=g, at 𝑅^𝑛 x{t=0}.
Here: u and g are complex-valued functions, with gϵ𝐿^2
On the other hand: 𝑖 = √−1.