This book contains the texts of selected lectures delivered at a weekly seminar at the College de France during the academic year of 1985-6. The main theme of the papers is recent work in the field of nonlinear partial differential equations - a field of growing importance both in pure and applied mathematics. The emphasis is laid on applications in numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical analysis and engineering. The book should be of interest to postgraduate students and specialists in these areas.

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