Tools and Problems in Partial Differential Equations

Know about the book -

Tools and Problems in Partial Differential Equations is written by Thomas Alazard and published by Springer Nature. It's available with International Standard Book Number or ISBN identification 3030502848 (ISBN 10) and 9783030502843 (ISBN 13).

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.