Smooth solution of one boundary-value problem
We study the boundary value problem for the quasilinear equation u u − 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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 12, pp 1932-1937.
Citation Example: Khoma N. H., Tsynalko P. V. Smooth solution of one boundary-value problem // Ukr. Mat. Zh. - 1997. - 49, № 12. - pp. 1712–1716.