Lectures On Elliptic Partial Differential Equations
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Lectures on Elliptic Partial Differential Equations
Author | : Luigi Ambrosio,Alessandro Carlotto,Annalisa Massaccesi |
Publsiher | : Springer |
Total Pages | : 230 |
Release | : 2019-01-10 |
Genre | : Mathematics |
ISBN | : 9788876426513 |
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The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the most classical aspects of the theory of Elliptic Partial Differential Equations and Calculus of Variations, including also more recent developments on partial regularity for systems and the theory of viscosity solutions.
Elliptic Partial Differential Equations
Author | : Qing Han,Fanghua Lin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 161 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9780821853139 |
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This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems.
Lectures on Elliptic and Parabolic Equations in H lder Spaces
Author | : Nikolaĭ Vladimirovich Krylov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 164 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780821805695 |
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These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
Lectures on Elliptic Partial Differential Equations
Author | : David Gilbarg |
Publsiher | : Unknown |
Total Pages | : 266 |
Release | : 1958 |
Genre | : Differential equations, Partial |
ISBN | : STANFORD:36105025508024 |
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Lectures on Partial Differential Equations
Author | : I. G. Petrovsky |
Publsiher | : Courier Corporation |
Total Pages | : 261 |
Release | : 2012-12-13 |
Genre | : Mathematics |
ISBN | : 9780486155081 |
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Graduate-level exposition by noted Russian mathematician offers rigorous, readable coverage of classification of equations, hyperbolic equations, elliptic equations, and parabolic equations. Translated from the Russian by A. Shenitzer.
Elliptic Partial Differential Equations of Second Order
Author | : David Gilbarg,Neil S. Trudinger |
Publsiher | : Springer Science & Business Media |
Total Pages | : 544 |
Release | : 2001-01-12 |
Genre | : Mathematics |
ISBN | : 3540411607 |
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This work aims to be of interest to those who have to work with differential equations and acts either as a reference or as a book to learn from. The authors have made the treatment self-contained.
Lectures on Linear Partial Differential Equations
Author | : Grigoriĭ Ilʹich Eskin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 432 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 9780821852842 |
Download Lectures on Linear Partial Differential Equations Book in PDF, Epub and Kindle
This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form. The first three chapters are on elementary distribution theory and Sobolev spaces. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory.
Lectures on Elliptic Partial Differential Equations
Author | : Jacques-Louis Lions,B. Singbal |
Publsiher | : Unknown |
Total Pages | : 296 |
Release | : 1957 |
Genre | : Differential equations |
ISBN | : UOM:39015017331201 |
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