Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Beyond Sobolev and Besov: Regularity of Solutions of Pdes and Their Traces in Function Spaces

Beyond Sobolev and Besov: Regularity of Solutions of Pdes and Their Traces in Function Spaces

Schneider, Cornelia

Paperback

Series: Lecture Notes in Mathematics, Book 2291

General Mathematics

ISBN10: 3030751384
ISBN13: 9783030751388
Publisher: Springer Nature
Published: Jun 1 2021
Pages: 330
Weight: 1.08
Height: 0.73 Width: 6.14 Depth: 9.21
Language: English

This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. It consists of three parts. Part I, the introduction, provides a quick guide to function spaces and the general concepts needed. Part II is the heart of the monograph and deals with the regularity of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type on non smooth domains. Linear as well as nonlinear equations are considered and special attention is paid to PDEs of parabolic type. For the classes of PDEs investigated a justification is given for the use of adaptive numerical schemes. Finally, the last part has a slightly different focus and is concerned with traces in several function spaces such as Besov- and Triebel-Lizorkin spaces, but also in quite general smoothness Morrey spaces.

Also in

General Mathematics

View All