Distribution Theory Applied to Differential Equations / Adina Chirilă, Marin Marin, Andreas Öchsner

By:

Chirilă, Adina [VerfasserIn]

Contributor(s):

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook CollectionPublisher: Cham : Springer, [2021]Copyright date: © 2021Description: 1 Online-Ressource (VIII, 276 Seiten) : Illustrationen, DiagrammeISBN:

9783030671594

Subject(s):

Additional physical formats: 9783030671587 | 9783030671600 | 9783030671617 | Erscheint auch als: 9783030671587 Druck-Ausgabe | Erscheint auch als: 9783030671600 Druck-Ausgabe | Erscheint auch als: 9783030671617 Druck-Ausgabe | Erscheint auch als: Distribution theory applied to differential equations. Druck-Ausgabe Cham, Switzerland : Springer Nature, 2021. viii, 276 SeitenDOI: DOI: 10.1007/978-3-030-67159-4Online resources:

Summary: Introduction -- Preliminaries -- Convex and Lower-semicontinuous Functions -- The Subdifferential of a Convex Function -- Evolution Equations -- Distributions -- Tempered Distributions -- Differential Equations in Distributions -- Sobolev Spaces -- Variational Problems -- On Some Spaces of Distributions -- On Some Diﬀerential Operators.Summary: This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). The authors prove several basic results in distribution theory and present ordinary differential equations and partial differential equations by providing generalized solutions. In addition, the book deals with Sobolev spaces, which presents aspects related to variation problems, such as the Stokes system, the elasticity system and the plate equation. The authors also include approximate formulations of variation problems, such as the Galerkin method or the finite element method. The book is accessible to all scientists, and it is especially useful for those who use mathematics to solve engineering and physics problems. The authors have avoided concepts and results contained in other books in order to keep the book comprehensive. Furthermore, they do not present concrete simplified models and pay maximal attention to scientific rigor.PPN: PPN: 1750010992Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

Holdings ( 0 )

No physical items for this record