國立虎尾科技大學 |

Partial differential equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Partial differential equations/ by Emmanuele DiBenedetto, Ugo Gianazza.
作者:	DiBenedetto, Emmanuele.
其他作者:	Gianazza, Ugo.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xxx, 748 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Mathematical Modeling and Industrial Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-46618-2
ISBN:	9783031466182

Partial differential equations
DiBenedetto, Emmanuele.

Partial differential equations[electronic resource] /by Emmanuele DiBenedetto, Ugo Gianazza. - Third edition. - Cham :Springer International Publishing :2023. - xxx, 748 p. :ill., digital ;24 cm. - Cornerstones,2197-1838. - Cornerstones..

Preliminaries -- Quasi-Linear Equations and the Cauchy-Kowalewski Theorem -- The Laplace Equation -- Boundary Value Problems by Double-Layer Potentials -- Integral Equations and Eigenvalue Problems -- The Heat Equation -- The Wave Equation -- Quasi-Linear Equations of First Order -- Linear Elliptic Equations with Measurable Coefficients -- Elliptic De Giorgi Classes -- Navier-Stokes Equations -- Quasi-Linear Hyperbolic First Order Systems -- Non-Linear Equations of the First Order.

This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs) Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students. Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.

ISBN: 9783031466182

Standard No.: 10.1007/978-3-031-46618-2doiSubjects--Topical Terms:

669172
Mathematical Modeling and Industrial Mathematics.

LC Class. No.: QA377 / .D53 2023

Dewey Class. No.: 515.35

Partial differential equations
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520 $a This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs) Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students. Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.
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650 2 4 $a Integral Equations. $3 672359
650 2 4 $a Difference and Functional Equations. $3 672077
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650 1 4 $a Differential Equations. $3 681826
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