F. John's stability conditions vs. A. Carasso's SECB constraint for backward parabolic problems

Jinwoo Lee, Dongwoo Sheen

In order to solve backward parabolic problems F. John [{\it Comm. Pure. Appl. Math.} (1960)] introduced the two constraints "$\Vert u(T)\Vert \le M$" and $\Vert u(0)-g\Vert \le \delta$ where $u(t)$…