Selected Works of J. Necas

The book will contain the most significant published papers which wee written by outstanding Czech mathematician JindÅ"ich NeÄas. The book will follow the periods of his research. First paper will be devoted to the linear theory of partial differential equations (variational approach of the boundary value problem, generalization of Rellich´s theory, Lipschitz domains and domains with cone property). Second part will be concerned with the regularity for nonlinear partial differential equations (Hilber´s 19th and 20th problems). Third part will be devoted to the nonlinear functional analysis (mainly spectral theory) and last part will contain mathematical theory of models describing mechanics of solids and fluids (unilateral problem, plastic materials, elasto-plastic materials, transonic flow, multipolar fluids, Navier-Stokes equations). All etaps of his research will be introduced by several mathematicians to describe his main contributions and to give description of his works. In addition, the book will contain a contribution of I. Babuska (who was J. Necas´s thesis advisor) discussing the beginnings of the modern PDE research in Prague. For more information see description of project.