Translations of Mathematical Monographs 1968; 648 pp; softcover Volume: 23 Reprint/Revision History: reprinted with corrections 1988; fifth printing 1998 ISBN10: 0821815733 ISBN13: 9780821815731 List Price: US$135 Member Price: US$108 Order Code: MMONO/23
 In this volume boundary value problems are studied from two points of view; solvability, unique or otherwise, and the effect of various smoothness properties of the given functions on the smoothness of the solutions. There are seven chapters contained in this volume. Chapter One gives a statement of the new results and an historical sketch. Chapter Two introduces the various function spaces typical of modern Russianstyle functional analysis. Chapters Three and Four deal with linear equations. Chapter Six concerns itself with quasilinear equations, and Chapter Seven with systems of equations. These last four chapters can be read independently of one another. Readership Table of Contents  Introductory material
 Auxiliary propositions
 Linear equations with discontinuous coefficients
 Linear equations with smooth coefficients
 Quasilinear equations with principal part in divergence form
 Quasilinear equations of general form
 Systems of linear and quasilinear equations
 Bibliography
