Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations (Mathematical Surveys and Monographs, 233, Band 233) - Hardcover

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Looking for solutions in Sobolev classes, local or global, or for viscosity solutions, Krylov concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. He uses old sources for most of the auxiliary results, among them Aleksandrov's elliptic and parabolic estimates, and the Krylov-Safonov and Evans-Krylov theorems. He obtained the main results in recent years. Among his topics are Bellman's equations with constant "coefficients" in the whole space, finite-different equations of elliptic type, a priori estimates in Ca for solutions of linear and nonlinear equations, elements of the C2+a-theory of fully nonlinear elliptic and parabolic equations, and unique and existence of extremal viscosity solutions for parabolic equations. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)

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