On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains
The theorems of uniqueness of solutions are formulated in the classes of increasing functions for a mixed initial boundary value problem for the second-order degenerate quasiparabolic equations in unbounded noncylindrical domains. We presenta priori estimates of a special kind, analogous to the Saint-Venant principle. The proofs are based on the method of introducing a parameter.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 526-534.
Citation Example: Kurta V. V. On behavior of solutions of the quasilinear second-order parabolic equations in unbounded noncylindrical domains // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 492–499.