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 239242) 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 NavierStokes system), CauchyRiemann's operators, Schr诤inger operators, among others. The wellknown results of Aronszajn, AgmonDouglisNirenber 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

