Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics) by Igor W. Gel’man (PDF)

Description

Translated from the German by Darya Apushkinskaya. Originally published in 1981 by Akademie-Verlag as Abschätzungen für Differentialoperatoren im Halbraum. A publication of the European Mathematical Society 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 Lamé’s system of static elasticity theory or the 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 interested in the theory of differential equations.

User’s Reviews

Editorial Reviews: About the Author Igor W. Gel man: Akko, Israel, Vladimir G. Maz ya: Linköping University, Sweden and University of Liverpool, UK and Peoples Friendship University of Russia, Moscow, Russia

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

Keywords

Free Download Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics) in PDF format
Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics) PDF Free Download
Download Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics) 2019 PDF Free
Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics) 2019 PDF Free Download
Download Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics) PDF
Free Download Ebook Estimates for Differential Operators in Half-space (EMS Tracts in Mathematics)