Smooth solution of one boundary-value problem

• Date: 1997
• Main Authors: Khoma, N. H., Tsynalko, P. V., Хома, H. Г., Цинайко, П. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5178
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.