Tools and problems in partial differential equations / Thomas Alazard, Claude Zuily.

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Tools and problems in partial differential equations / Thomas Alazard, Claude Zuily.

9783030502843 (electronic book)
3030502848 (electronic book)
303050283X
9783030502836

Cham, Switzerland : Springer, [2020]

English

1 online resource (xii, 357 pages).

10.1007/978-3-030-50284-3 doi

QA374 .A43 2020

515.353

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, Schrödinger 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.

Includes bibliographical references and index.

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Description based on online resource; title from digital title page (viewed on January 05, 2021).

Universitext.

Print version: 9783030502836

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