Burgers equation on the semiline

Abstract
The initial/boundary value problem on the semiline for the Burgers equation ut=uxx+2uxu, with the initial and boundary data u(x,0)=u0(x), x>0, and ux(0,t)=F(t), t>0, is reduced to an integrodifferential equation in one independent variable. This equation is, however, non-linear.

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