Partial Differential Equations (Banach Center Publications)

The present volume includes some of the papers prepared by the participants of the activities of the Semester on Partial Differential Equations held at the Banach Center (Warsaw, September 12 - December 12, 1984). The main areas of activity were: microlocal analysis of pseudodifferential operators and boundary value problems, spectral theory of differential operators, homogenization methods and various aspects of nonlinear problems in P.D.E. As a matter of fact, the nonlinear problems occupied a significant place among the topics discussed in numerous seminar lectures. In particular, research and survey papers on existence and regularity theory of elliptic nonlinear equations and variational inequalities, bifurcation problems and topological methods in nonlinear differential equations, nonlinear equations of elasticity theory, hydrodynamics, mathematical biology were presented by many participants. Unfortunately, only a relatively small part of these are published in the proceedings.