國立虎尾科技大學 |

Distribution Theory Applied to Differential Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Distribution Theory Applied to Differential Equations/ by Adina Chirilă, Marin Marin, Andreas Öchsner.
作者:	Chirilă, Adina.
其他作者:	Öchsner, Andreas.
面頁冊數:	VIII, 276 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-67159-4
ISBN:	9783030671594

Distribution Theory Applied to Differential Equations
Chirilă, Adina.

Distribution Theory Applied to Differential Equations[electronic resource] /by Adina Chirilă, Marin Marin, Andreas Öchsner. - 1st ed. 2021. - VIII, 276 p. 1 illus.online resource.

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

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

669490
Analysis.

LC Class. No.: QA273.A1-274.9

Dewey Class. No.: 519.2

Distribution Theory Applied to Differential Equations
LDR:02839nam a22004215i 4500 001 1053001
003 DE-He213
005 20210623170721.0
007 cr nn 008mamaa
008 220103s2021 gw | s |||| 0|eng d
020 $a 9783030671594 $9 978-3-030-67159-4
024 7 $a 10.1007/978-3-030-67159-4 $2 doi
035 $a 978-3-030-67159-4
050 4 $a QA273.A1-274.9
050 4 $a QA274-274.9
072 7 $a PBT $2 bicssc
072 7 $a MAT029000 $2 bisacsh
072 7 $a PBT $2 thema
072 7 $a PBWL $2 thema
082 0 4 $a 519.2 $2 23
100 1 $a Chirilă, Adina. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1357811
245 1 0 $a Distribution Theory Applied to Differential Equations $h [electronic resource] / $c by Adina Chirilă, Marin Marin, Andreas Öchsner.
250 $a 1st ed. 2021.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a VIII, 276 p. 1 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 2 4 $a Analysis. $3 669490
650 2 4 $a Mechanical Engineering. $3 670827
650 2 4 $a Classical and Continuum Physics. $3 1141497
650 2 4 $a Convex and Discrete Geometry. $3 672138
650 1 4 $a Probability Theory and Stochastic Processes. $3 593945
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Mathematical analysis. $3 527926
650 0 $a Mechanical engineering. $3 557493
650 0 $a Continuum physics. $3 1255031
650 0 $a Discrete geometry. $3 672137
650 0 $a Convex geometry . $3 1255327
650 0 $a Probabilities. $3 527847
700 1 $a Öchsner, Andreas. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1254983
700 1 $a Marin, Marin. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1286748
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030671587
776 0 8 $i Printed edition: $z 9783030671600
776 0 8 $i Printed edition: $z 9783030671617
856 4 0 $u https://doi.org/10.1007/978-3-030-67159-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)