Tools and Problems in Partial Differential Equations

By: Claude Zuily, Thomas Alazard

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Paperback | 20 October 2020

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372 Pages

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15.5 x 23.3 x 2.7

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This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.

Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrodinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory.

Informed by the authors'' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject.

Industry Reviews

"Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in partial differential equations may find this work useful as a summary of analytic theories published in this volume." (VicenÅ£iu D. RÄdulescu, zbMATH 1461.35001, 2021)

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