Levy Solutions of a Randomly Forced Burgers Equation
نویسنده
چکیده
We consider Burgers equation forced by a brownian in space and white noise in time process ∂tu+ 1 2 ∂x(u) = f(x, t), with E(f(x, t)f(y, s)) = 1 2 (|x|+ |y| − |x− y|)δ(t− s) and we show that there are Levy processes solutions, for which we give the evolution equation of the characteristic exponent. In particular we give the explicit solution in the case u0(x) = 0.
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