Second Order Equations of Elliptic and Parabolic Type
This volume introduces the theory of linear elliptic and parabolic equations of second order. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of the second order. The precise and clear exposition of the material makes it suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.