Matches in SemOpenAlex for { <https://semopenalex.org/work/W2039918732> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W2039918732 endingPage "185" @default.
- W2039918732 startingPage "157" @default.
- W2039918732 abstract "The Dirichlet problem for elliptic systems of the second order with constant real and complex coefficients in the half-space k + = {x = (x 1,…,xk ): xk > 0} is considered. It is assumed that the boundary values of a solution u = (u 1,…,u m) have the form ψ 1 ξ 1 + · · · + ψ n ξ n, 1 ≤ n ≤ m, where ξ 1,· · ·,ξ n is an orthogonal system of m-component normed vectors and ψ 1,· · ·,ψ n are continuous and bounded functions on ∂ k +. We study the mappings [C(∂ k +)] n ∍ (ψ 1,…,ψ n) → u(x) ∍ m and [C(∂ k +)] n ∍ (ψ 1,…,ψ n) → u(x) ∍ m generated by real and complex vector valued double layer potentials. We obtain representations for the sharp constants in inequalities between |u(x)| or |(z, u(x))| and ∥u| xk =0∥, where z is a fixed unit m-component vector, | · | is the length of a vector in a finite-dimensional unitary space or in Euclidean space, and (·,·) is the inner product in the same space. Explicit representations of these sharp constants for the Stokes and Lamé systems are given. We show, in particular, that if the velocity vector (the elastic displacement vector) is parallel to a constant vector at the boundary of a half-space and if the modulus of the boundary data does not exceed 1, then the velocity vector (the elastic displacement vector) is majorised by 1 at an arbitrary point of the half-space. An analogous classical maximum modulus principle is obtained for two components of the stress tensor of the planar deformed state as well as for the gradient of a biharmonic function in a half-plane." @default.
- W2039918732 created "2016-06-24" @default.
- W2039918732 creator A5034951595 @default.
- W2039918732 creator A5036028881 @default.
- W2039918732 date "2003-02-01" @default.
- W2039918732 modified "2023-10-16" @default.
- W2039918732 title "Best Constants in the Miranda-Agmon Inequalities for Solutions of Elliptic Systems and the Classical Maximum Modulus Principle for Fluid and Elastic Half-spaces" @default.
- W2039918732 cites W1990241390 @default.
- W2039918732 cites W2009576928 @default.
- W2039918732 cites W2034724386 @default.
- W2039918732 cites W2073370369 @default.
- W2039918732 cites W2117699522 @default.
- W2039918732 cites W4241008512 @default.
- W2039918732 cites W4243738351 @default.
- W2039918732 doi "https://doi.org/10.1080/0003681021000058565" @default.
- W2039918732 hasPublicationYear "2003" @default.
- W2039918732 type Work @default.
- W2039918732 sameAs 2039918732 @default.
- W2039918732 citedByCount "1" @default.
- W2039918732 crossrefType "journal-article" @default.
- W2039918732 hasAuthorship W2039918732A5034951595 @default.
- W2039918732 hasAuthorship W2039918732A5036028881 @default.
- W2039918732 hasConcept C114614502 @default.
- W2039918732 hasConcept C134306372 @default.
- W2039918732 hasConcept C171739935 @default.
- W2039918732 hasConcept C186450821 @default.
- W2039918732 hasConcept C33923547 @default.
- W2039918732 hasConcept C34388435 @default.
- W2039918732 hasConcept C62354387 @default.
- W2039918732 hasConcept C84316537 @default.
- W2039918732 hasConceptScore W2039918732C114614502 @default.
- W2039918732 hasConceptScore W2039918732C134306372 @default.
- W2039918732 hasConceptScore W2039918732C171739935 @default.
- W2039918732 hasConceptScore W2039918732C186450821 @default.
- W2039918732 hasConceptScore W2039918732C33923547 @default.
- W2039918732 hasConceptScore W2039918732C34388435 @default.
- W2039918732 hasConceptScore W2039918732C62354387 @default.
- W2039918732 hasConceptScore W2039918732C84316537 @default.
- W2039918732 hasIssue "2" @default.
- W2039918732 hasLocation W20399187321 @default.
- W2039918732 hasOpenAccess W2039918732 @default.
- W2039918732 hasPrimaryLocation W20399187321 @default.
- W2039918732 hasRelatedWork W1494317830 @default.
- W2039918732 hasRelatedWork W1967302177 @default.
- W2039918732 hasRelatedWork W1982295281 @default.
- W2039918732 hasRelatedWork W2065603880 @default.
- W2039918732 hasRelatedWork W2069302992 @default.
- W2039918732 hasRelatedWork W2073513171 @default.
- W2039918732 hasRelatedWork W2184625805 @default.
- W2039918732 hasRelatedWork W2339294360 @default.
- W2039918732 hasRelatedWork W2783752873 @default.
- W2039918732 hasRelatedWork W2952040099 @default.
- W2039918732 hasVolume "82" @default.
- W2039918732 isParatext "false" @default.
- W2039918732 isRetracted "false" @default.
- W2039918732 magId "2039918732" @default.
- W2039918732 workType "article" @default.