Tools and Problems in Partial Differential Equations - 9783030502836

Tools and Problems in Partial Differential EquationsAuthor(s): Thomas Alazard, Claude Zuily\nFormat: Paperback\nPublisher: Springer Nature Switzerland AG, Switzerland\nImprint: Springer Nature Switzerland AG\nISBN-13: 9783030502836, 978-3030502836\nSynopsis\nThis textbook offers a unique learning-by-doing introduction to the modern theory of partial differential [url] 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, Schrdinger 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.\n\nInformed by the authors' extensive research experience and years of teaching, .