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Distribution Theory Applied to Differential Equations

Distribution Theory Applied to Differential Equations

Paperback

GeometryPhysicsProbability & Statistics

ISBN10: 3030671615
ISBN13: 9783030671617
Publisher: Springer Nature
Published: Feb 10 2022
Pages: 276
Weight: 0.89
Height: 0.60 Width: 6.14 Depth: 9.21
Language: English

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.

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Chirilă, Adina

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Probability & Statistics