Necas's book provides a concise and self-contained introduction to the modern theory of partial differential equations, the theory of weak solutions and related topics. It looks at Sobolev spaces, existence and uniqueness theorems for problems and much more.
Nečas' book Direct Methods in the Theory of Elliptic Equations, published 1967 in French, has become a standard reference for the mathematical theory of linear elliptic equations and systems. This English edition, translated by G. Tronel and A. Kufner, presents Nečas' work essen…
"This book concentrates on the basic facts and ideas of the modern theory of linear elliptic and parabolic equations in Sobolev spaces." "The main areas covered in this book are the first boundary-value problem for elliptic equations and the Cauchy problem for parabolic equation…
