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Partial Differential Equations of Parabolic Type

2013-08-16 Mathematics
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Release : 2013-08-16
Genre : Mathematics
Kind : eBook
Book Rating : 265/5 ( reviews)

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Book Synopsis Partial Differential Equations of Parabolic Type by : Avner Friedman

Download or read book Partial Differential Equations of Parabolic Type written by Avner Friedman. This book was released on 2013-08-16. Available in PDF, EPUB and Kindle. Book excerpt: With this book, even readers unfamiliar with the field can acquire sufficient background to understand research literature related to the theory of parabolic and elliptic equations. 1964 edition.

New Difference Schemes for Partial Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 229/5 ( reviews)

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Book Synopsis New Difference Schemes for Partial Differential Equations by : Allaberen Ashyralyev

Download or read book New Difference Schemes for Partial Differential Equations written by Allaberen Ashyralyev. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.

Linear and Quasi-linear Equations of Parabolic Type

1988 Mathematics
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Release : 1988
Genre : Mathematics
Kind : eBook
Book Rating : 731/5 ( reviews)

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Book Synopsis Linear and Quasi-linear Equations of Parabolic Type by : Olʹga A. Ladyženskaja

Download or read book Linear and Quasi-linear Equations of Parabolic Type written by Olʹga A. Ladyženskaja. This book was released on 1988. Available in PDF, EPUB and Kindle. Book excerpt: Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.

Second Order Equations of Elliptic and Parabolic Type

1997-12-02 Mathematics
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Release : 1997-12-02
Genre : Mathematics
Kind : eBook
Book Rating : 812/5 ( reviews)

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Book Synopsis Second Order Equations of Elliptic and Parabolic Type by : E. M. Landis

Download or read book Second Order Equations of Elliptic and Parabolic Type written by E. M. Landis. This book was released on 1997-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions. In addition to the discussion of classical results for equations with smooth coefficients (Schauder estimates and the solvability of the Dirichlet problem for elliptic equations; the Dirichlet problem for the heat equation), the book describes properties of solutions to second order elliptic and parabolic equations with measurable coefficients near the boundary and at infinity. The book presents a fine elementary introduction to the theory of elliptic and parabolic equations of second order. The precise and clear exposition is suitable for graduate students as well as for research mathematicians who want to get acquainted with this area of the theory of partial differential equations.

Parabolic Equations with Irregular Data and Related Issues

2019-06-17 Mathematics
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Release : 2019-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 140/5 ( reviews)

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Book Synopsis Parabolic Equations with Irregular Data and Related Issues by : Claude Le Bris

Download or read book Parabolic Equations with Irregular Data and Related Issues written by Claude Le Bris. This book was released on 2019-06-17. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.

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