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Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

2012-03-02 Mathematics
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Release : 2012-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 448/5 ( reviews)

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Book Synopsis Regularity Estimates for Nonlinear Elliptic and Parabolic Problems by : John Lewis

Download or read book Regularity Estimates for Nonlinear Elliptic and Parabolic Problems written by John Lewis. This book was released on 2012-03-02. Available in PDF, EPUB and Kindle. Book excerpt: The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.

Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

2012-03-02 Mathematics
Download Regularity Estimates for Nonlinear Elliptic and Parabolic Problems PDF Online Free

Author :
Release : 2012-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 458/5 ( reviews)

GET EBOOK


Book Synopsis Regularity Estimates for Nonlinear Elliptic and Parabolic Problems by : John Lewis

Download or read book Regularity Estimates for Nonlinear Elliptic and Parabolic Problems written by John Lewis. This book was released on 2012-03-02. Available in PDF, EPUB and Kindle. Book excerpt: The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.

Fully Nonlinear Elliptic Equations

1995 Mathematics
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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 375/5 ( reviews)

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Book Synopsis Fully Nonlinear Elliptic Equations by : Luis A. Caffarelli

Download or read book Fully Nonlinear Elliptic Equations written by Luis A. Caffarelli. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.

Nonlinear Elliptic and Parabolic Problems

2006-02-09 Mathematics
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Release : 2006-02-09
Genre : Mathematics
Kind : eBook
Book Rating : 857/5 ( reviews)

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Book Synopsis Nonlinear Elliptic and Parabolic Problems by : Michel Chipot

Download or read book Nonlinear Elliptic and Parabolic Problems written by Michel Chipot. This book was released on 2006-02-09. Available in PDF, EPUB and Kindle. Book excerpt: Celebrates the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Containing 32 contributions, this volume covers a range of nonlinear elliptic and parabolic equations, with applications to natural sciences and engineering.

Nonlinear Elliptic and Parabolic Equations of the Second Order

2001-11-30 Mathematics
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Release : 2001-11-30
Genre : Mathematics
Kind : eBook
Book Rating : 349/5 ( reviews)

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Book Synopsis Nonlinear Elliptic and Parabolic Equations of the Second Order by : N.V. Krylov

Download or read book Nonlinear Elliptic and Parabolic Equations of the Second Order written by N.V. Krylov. This book was released on 2001-11-30. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the It isn't that they can't see the right end and begin with the solution. It is that they can't see answers. Then one day, perhaps the problem. you will find the final question. G.K. Chesterton. The Scandal of 'The Hermit Clad in Crane Father Brown 'The Point of a Pin'. Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theor.etical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

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