Existence and decay estimates for time dependent parabolic equation with application to Duncan–Mortensen–Zakai equation
Shing‐Tung Yau, Stephen S.‐T. Yau · Asian Journal of Mathematics · 1998
A priori estimations.To begin with, let us recall some well known formulas and inequality which will be used repeatedly throughout this paper.Divergence Theorem Let ft be a bounded domain with C 1 -boundary dQ and let z/ denote the unit outward normal to dfl.For any vector field w in C 0 (Cl) fl C 1 (0), / div w dx = / w -v ds, Jn JdQ