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Distribution theory applied to diffe...

Chirila, Adina.

Distribution theory applied to differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Distribution theory applied to differential equationsby Adina Chirila, Marin Marin, Andreas Ochsner.
作者:	Chirila, Adina.
其他作者:	Marin, Marin.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	viii, 276 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Distribution (Probability theory)
電子資源:	https://doi.org/10.1007/978-3-030-67159-4
ISBN:	9783030671594$q(electronic bk.)

Distribution theory applied to differential equations
Chirila, Adina.

Distribution theory applied to differential equations[electronic resource] /by Adina Chirila, Marin Marin, Andreas Ochsner. - Cham :Springer International Publishing :2021. - viii, 276 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783030671594$q(electronic bk.)

Standard No.: 10.1007/978-3-030-67159-4doiSubjects--Topical Terms:

182306
Distribution (Probability theory)

LC Class. No.: QA273.6 / .C45 2021

Dewey Class. No.: 519.24

Distribution theory applied to differential equations
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245 1 0 $a Distribution theory applied to differential equations $h [electronic resource] / $c by Adina Chirila, Marin Marin, Andreas Ochsner.
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300 $a viii, 276 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Distribution (Probability theory) $3 182306
650 0 $a Convex functions. $3 191128
650 0 $a Differential equations. $3 183925
650 0 $a Probabilities. $3 182046
650 0 $a Convex geometry. $3 187435
650 0 $a Discrete geometry. $3 277229
650 0 $a Field theory (Physics) $3 208085
650 0 $a Mechanical engineering. $3 190348
650 0 $a Mathematical analysis. $3 186133
650 1 4 $a Probability Theory and Stochastic Processes. $3 274061
650 2 4 $a Convex and Discrete Geometry. $3 277230
650 2 4 $a Classical and Continuum Physics. $3 771188
650 2 4 $a Mechanical Engineering. $3 273894
650 2 4 $a Analysis. $3 273775
700 1 $a Marin, Marin. $3 806480
700 1 $a Ochsner, Andreas. $3 307676
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