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Estimates for Differential Operators...

Gel'man, Igor W.,

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Estimates for Differential Operators in Half-space = Translated from the German by Darya Apushkinskaya /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Estimates for Differential Operators in Half-space/ Igor W. Gel'man, Vladimir G. Maz'ya
Reminder of title:	Translated from the German by Darya Apushkinskaya /
Author:	Gel'man, Igor W.,
other author:	Maz'ya, Vladimir G.,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2019,
Description:	1 online resource (264 pages)
Subject:	Differential equations -
Online resource:	https://doi.org/10.4171/191
Online resource:	https://www.ems-ph.org/img/books/gelman_mini.jpg
ISBN:	9783037196915

Estimates for Differential Operators in Half-space = Translated from the German by Darya Apushkinskaya /
Gel'man, Igor W.,

Estimates for Differential Operators in Half-spaceTranslated from the German by Darya Apushkinskaya /[electronic resource] :Igor W. Gel'man, Vladimir G. Maz'ya - Zuerich, Switzerland :European Mathematical Society Publishing House,2019 - 1 online resource (264 pages) - EMS Tracts in Mathematics (ETM)31.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Inequalities for differential operators play a fundamental role in the modern theory of partial differential equations. Among the numerous applications of such inequalities are existence and uniqueness theorems, error estimates for numerical approximations of solutions and for residual terms in asymptotic formulas, as well as results on the structure of the spectrum. The inequalities cover a wide range of differential operators, boundary conditions and norms of the corresponding function spaces. The book focuses on estimates up to the boundary of a domain. It contains a great variety of inequalities for differential and pseudodifferential operators with constant coefficients. Results of final character are obtained, without any restrictions on the type of differential operators. Algebraic necessary and sufficient conditions for the validity of the corresponding a priori estimates are presented. General criteria are systematically applied to particular types of operators found in classical equations and systems of mathematical physics (such as Lame's system of static elasticity theory or the linearized Navier-Stokes system), Cauchy-Riemann's operators, Schrödinger operators, among others. The well-known results of Aronszajn, Agmon-Douglis-Nirenberg and Schechter fall into the general scheme, and sometimes are strengthened. The book will be interesting and useful to a wide audience, including graduate students and specialists in the theory of differential equations.

ISBN: 9783037196915

Standard No.: 10.4171/191doiSubjects--Topical Terms:

704075
Differential equations

Estimates for Differential Operators in Half-space = Translated from the German by Darya Apushkinskaya /
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520 $a Inequalities for differential operators play a fundamental role in the modern theory of partial differential equations. Among the numerous applications of such inequalities are existence and uniqueness theorems, error estimates for numerical approximations of solutions and for residual terms in asymptotic formulas, as well as results on the structure of the spectrum. The inequalities cover a wide range of differential operators, boundary conditions and norms of the corresponding function spaces. The book focuses on estimates up to the boundary of a domain. It contains a great variety of inequalities for differential and pseudodifferential operators with constant coefficients. Results of final character are obtained, without any restrictions on the type of differential operators. Algebraic necessary and sufficient conditions for the validity of the corresponding a priori estimates are presented. General criteria are systematically applied to particular types of operators found in classical equations and systems of mathematical physics (such as Lame's system of static elasticity theory or the linearized Navier-Stokes system), Cauchy-Riemann's operators, Schrödinger operators, among others. The well-known results of Aronszajn, Agmon-Douglis-Nirenberg and Schechter fall into the general scheme, and sometimes are strengthened. The book will be interesting and useful to a wide audience, including graduate students and specialists in the theory of differential equations.
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