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作者 Gel'man, I. V., author
書名 Estimates for differential operators in half-space / Igor V. Gel'man, Vladimir G. Maz'ya ; translated from the German by Darya Apushkinskaya
出版項 Zurich, Switzerland : European Mathematical Society, [2019]
2019
國際標準書號 3037191910
9783037191910
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA329.4 G4513 2019    在架上    30340200561995
說明 xvi, 246 pages ; 25 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 EMS tracts in mathematics ; 31
EMS tracts in mathematics ; 31
附註 Includes bibliographical references (pages 239-242) and index
Estimates for matrix operators -- Boundary estimates for differential operators -- Dominance of differential operators -- Estimates for a maximal operator
"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 oeprators. 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, Schr诤inger operators, among others. The well-known results of Aronszajn, Agmon-Douglis-Nirenber 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"--Back cover
主題 Differential operators
Estimation theory
Alt Author Maz'ya, V. G., author
Apushkinskaya, Darya, translator
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