The book provides an elementary tutorial presentation on computational methods in fluid
mechanics. The authors intend this book to serve as a survey of mathematical fundamentals …

The theory of fully nonlinear uniforrrily para1) olic rquations in sp; icrs with Holder
continuous ilerivatives is very well developed arid can be found in the books of Krylov [21] …

This paper considers (i) the existence of space-time periodic solutions of quasi-linear
parabolic equations and (ii) the convergence, as t→∞, of space periodic solutions of the …

We study existence of continuous weak (viscosity) solutions of Dirichlet and Cauchy-
Dirichlet problems for fully nonlinear uniformly elliptic and parabolic equations. Two types of …

An introduction to the Kähler-Ricci flow Lecture Notes in Mathematics 2086 Sébastien
Boucksom Philippe Eyssidieux Vincent Guedj Editors An Introduction to the Kähler-Ricci Flow …

We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic
equations of the form Eq u_t-F\left (D^ 2u, Du, X, t\right)= f (X, t)\quad in\quad Q_1, ut-FD 2 u …

We present various versions of generalized Aleksandrov–Bakelman–Pucci (ABP) maximum
principle for L p-viscosity solutions of fully nonlinear second-order elliptic and parabolic …

We obtain Serrin type characterization of isolated singularities for solutions of fully nonlinear
uniformly elliptic equations F (D2u)= 0. The main result states that any solution to the …

In this paper we obtain a generalised maximum principle of Alexandrov–Bakelman–Pucci
type for viscosity solutions of fully nonlinear cooperative elliptic systems. We also establish a …

In this work we prove the Aleksandrov–Bakel'man–Pucci estimate for (possibly degenerate)
nonlinear elliptic and parabolic equations of the form− div (F (∇ u (x)))= f (x) in⊂ Rn and ut …