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Linear and Quasi-linear Equations of Parabolic Type
O. A. Ladyženskaja, St. Petersburg University, St. Ptresburg, Russia, V. A. Solonnikov, Russian Academy of Sciences, St. Petersburg, Russia, and N. N. Ural'ceva, LOMI, St. Petersburg, Russia

Translations of Mathematical Monographs
1968; 648 pp; softcover
Volume: 23
Reprint/Revision History:
reprinted with corrections 1988; fifth printing 1998
ISBN-10: 0-8218-1573-3
ISBN-13: 978-0-8218-1573-1
List Price: US$135
Member Price: US$108
Order Code: MMONO/23
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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 Russian-style 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.


Table of Contents

  • Introductory material
  • Auxiliary propositions
  • Linear equations with discontinuous coefficients
  • Linear equations with smooth coefficients
  • Quasi-linear equations with principal part in divergence form
  • Quasi-linear equations of general form
  • Systems of linear and quasi-linear equations
  • Bibliography
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