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portada Distribution Theory Applied to Differential Equations
Type
Physical Book
Author
Publisher
Language
English
Pages
276
Format
Hardcover
Dimensions
23.9x19.6x1.8 cm
Weight
0.54 kg.
ISBN13
9783030671587
Categories

Distribution Theory Applied to Differential Equations

Andreas Öchsner (Author) · Adina Chirilă (Author) · Marin Marin (Author) · Springer · Hardcover

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

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Synopsis "Distribution Theory Applied to Differential Equations"

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.

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