Notes on Softening and Local Instability

On the set of solutions to a nonlinear forward backward parabolic equation

“…and(12), and u^(x), <p x (x,t) e [0,6], it is obvious that and This latter statement implies assertion (a). Now, we prove assertion (c).…”

“…While proving the theorem we use essentially construction due to G. Strang [12] and K. H llig [7]. Similar to [7,8], we assume that a piecewise smooth function ω satisfies the conditions:…”

“…For any positive integer n let us construct the triangulation of the domain <2) T in the following way (cf. [7,12]). We define the set of triangulation vertices ^: The triangulation appropriate to these vertices is shown in Fig.…”