Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important

Mathematical distribution theory --- Partial differential equations --- Theory of distributions (Functional analysis) --- Differential equations, Partial --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- 517.95 --- 517.982.4 --- 517.982.4 Theory of generalized functions (distributions) --- Theory of generalized functions (distributions) --- 517.95 Partial differential equations --- Problems, exercises, etc

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Theory of distributions (Functional analysis) --- -Problems, exercises, etc

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Distributions, Théorie des (analyse fonctionnelle) --- Mathematiques --- Problemes et exercices --- Mathematiques --- Problemes et exercices

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematical analysis. --- Analysis (Mathematics). --- Functional analysis. --- Fourier analysis. --- Potential theory (Mathematics). --- Analysis. --- Functional Analysis. --- Fourier Analysis. --- Potential Theory. --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Analysis, Fourier --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- 517.1 Mathematical analysis --- Differential equations, Partial. --- Partial differential equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)