Introduction to the Theory of Linear Partial Differential Equations

Jacques Chazarain and Alain Piriou (Eds.)9780444511034, 0444511032

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.
18.07

---

Table of contents :
Content:
Edited by
Page ii

Edited by
Page iii

Copyright page
Page iv

Foreword
Pages xiii-xiv

Chapter I Distributions and Operators
Pages 1-81

Chapter 2 Sobolev Spaces and Applications
Pages 83-137

Chapter 3 Symbols, Oscillatory Integrals and Stationary-Phase Theorems
Pages 139-189

Chapter 4 Pseudo Differential Operators
Pages 191-269

Chapter 5 Elliptic Boundary-Value Problems
Pages 271-324

Chapter 6 Evolution Equations
Pages 325-408

Chapter 7 Mixed Hyperbolic Problems
Pages 409-500

Chapter 8 Microlocalisation
Pages 501-547

Bibliography
Pages 549-553

Index
Pages 555-559