Lp- Theory for fully nonlinear uniformly parabolic equations

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Maximum principle for fully nonlinear equations via the iterated comparison function method (2007, background): “Theorem 2.8 in [ 8 ]) Let p > p1. There exists C = C(n;; ;p) > 0 such that for f 2 Lp(Q), there exists an Lp-strong solution u 2 C(Q) \W 2;1;p loc (Q) of”
Principal eigenvalues and the Dirichlet problem for fully nonlinear elliptic operators (2008, background): “1 in [22] (see also the discussion in Sections 8–9 in [12]).”
Principal eigenvalues and an anti-maximum principle for homogeneous fully nonlinear elliptic equations (2008, background): “, [13, 14, 36]) imply the existence of a solution v ∈ C(Ω) of the Dirichlet problem”
Liouville property and regularity of a Hessian quotient equation (2003, background): “Following [4] and [11], we call a function u ∈ W loc (Ω) for p > 2 an admissible strong solution of (1.”