We study the boundary value problem for the quasilinear equation uu − uxx=F[u, ut], u(x, 0)= u(x, π)=0, u(x+w, t)=u(x, t), x ε ®, t ε [0, π], and establish conditions under which a theorem on the uniqueness of a smooth solution is true.
Periodic Solution Periodic Function Linear Problem Smooth Solution Hyperbolic Equation
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