ENGLISH

Tools and Problems in Partial Differential Equations

By Claude Zuily , Thomas Alazard

Book information

Publisher
Springer
Year
2020
ISBN
9783030502836, 9783030502843
Language
english
Format
PDF
Filesize
3 MB (3651714 bytes)
Series
Universitext
Edition
1
Pages
357\362
Topic
Mathematics\\Differential Equations
Time added
2020-10-20 12:36:49
DistributionsFunctional AnalysisMicrolocal AnalysisSobolev spaces

Description

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.

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