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, Schr?dinger 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.
Keywords: Differential operators with constant coefficients, differential operators in a half-space, pseudo-differential operators, domination of differential operators, boundary traces, maximal operator, estimates for Lame system, estimates for Stokes system
2019 | ISBN 978-3-03719-191-0 | ID: SC - 1102
SC - 1102 | Estimates for Differential Operators in Half-space
Napomena:
- clanovima nase biblioteke omogucen je pristup resursima Svetske elektronske biblioteke (World electronic library - WELIB), na linku WELIBRS, gde se mogu pronaci knjige na srpskom jeziku. Napominjemo da mi samo ostvarujemo saradnju sa ovom bibliotekom, a nismo njen deo.
- u jednom postu se nalazi onoliko knjiga od istog autora koliko smo ih dobili u tom trenutku - ako zelite da vidite kompletan spisak svih postavljenih knjiga istog autora na celom blogu - mozete ih pronaci putem stranice sa spiskom autora ili putem taga sa imenom autora ispod naslova odgovarajuceg posta.
IDENTIFIKACIONI (ID) BROJEVI:
SC:
1-100__101-200__201-300
301-400__401-500__501-600
601-700__701-800__801-900
0 comments:
Post a Comment
Comment form message