Problems on Partial Differential Equations

1. Auflage 2019
ISBN: 978-3-030-14733-4
Verlag: Springer International Publishing

Buch, Englisch, 248 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 565 g

Reihe: Problem Books in Mathematics

This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces.

In numerous problems, the student is asked to prove a given statement, e.g. to show the existence of a solution to a certain PDE. Usually there is no closed-formula answer available, which is why there is no answer section, although helpful hints are often provided.

This textbook offers a valuable asset for students and educators alike. As it adopts a perspective on PDEs that is neither too theoretical nor too practical, it represents the perfect companion to a broad spectrum of courses.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Borodzik, Maciej

Zatorska-Goldstein, Anna

Goldstein, Pawel

Rybka, Piotr

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

Preliminaries.- Distributions, Sobolev spaces and Fourier transform.- Common methods.- Elliptic equations.- Evolution equations.- Bibliography.

Über Autor(innen)

Maciej Borodzik, the University of Warsaw, Warsaw, PolandPawel Goldstein, the University of Warsaw,Warsaw, PolandPiotr Rybka, the University of Warsaw, Warsaw, PolandAnna Zatorska-Goldstein, the University of Warsaw, Warsaw, Poland