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Longer titles found: Sobolev spaces for planar domains (view)

searching for Sobolev space 12 found (133 total)

Kato's conjecture (211 words) [view diff] exact match in snippet view article find links to article

{div} (A\nabla )} with bounded measurable coefficients in Rn is the Sobolev space H1(Rn) in any dimension with the estimate | | L f | | 2 ∼ | | ∇ f |

Hiptmair–Xu preconditioner (1,663 words) [view diff] exact match in snippet view article find links to article

dimensions is the so-called regular decomposition, which decomposes a Sobolev space function into a component of higher regularity and a scalar or vector

Skorokhod integral (1,427 words) [view diff] exact match in snippet view article find links to article

1 , p {\displaystyle \mathbf {D} ^{1,p}} and is called the Watanabe–Sobolev space. For simplicity, consider now just the case p = 2 {\displaystyle p=2}

Continuous embedding (534 words) [view diff] exact match in snippet view article find links to article

p ∗ = n p n − p . {\displaystyle p^{*}={\frac {np}{n-p}}.} Then the Sobolev space W1,p(Ω; R) is continuously embedded in the Lp space Lp∗(Ω; R). In fact

Klaus Schmitt (1,226 words) [view diff] exact match in snippet view article find links to article

eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting" (with M. García-Huidobro, V. Le, R. Manásevich), Nonlinear

Arakelov theory (1,845 words) [view diff] exact match in snippet view article find links to article

Green functions which, up to logarithmic singularities, belong to the Sobolev space L 1 2 {\displaystyle L_{1}^{2}} . In this context, Bost obtains an arithmetic

Tony O'Farrell (875 words) [view diff] exact match in snippet view article find links to article

in: Bulletin IMS 26 (1991) 10-1. MR 93h:58015. 1997 "An example on Sobolev space approximation", Bulletin L.M.S., 29 (1997) 470-4. 1998 "Finitely-generated

Ladyzhenskaya–Babuška–Brezzi condition (1,375 words) [view diff] exact match in snippet view article find links to article

u} and pressure p {\displaystyle p} , which live in respectively the Sobolev space H 1 ( Ω ) d {\displaystyle H^{1}(\Omega )^{d}} and the Lebesgue space

Ladyzhenskaya–Babuška–Brezzi condition (1,375 words) [view diff] exact match in snippet view article find links to article

u} and pressure p {\displaystyle p} , which live in respectively the Sobolev space H 1 ( Ω ) d {\displaystyle H^{1}(\Omega )^{d}} and the Lebesgue space

Oscillator representation (21,527 words) [view diff] exact match in snippet view article find links to article

of their Hermite coefficients an. Standard arguments show that each Sobolev space is invariant under the operators W(z) and the metaplectic group. Indeed

Glossary of real and complex analysis (4,328 words) [view diff] exact match in snippet view article find links to article

series. Rellich Rellich's lemma tells when an inclusion of a Sobolev space to another Sobolev space is a compact operator. Riemann 1. The Riemann integral

Riemannian connection on a surface (10,191 words) [view diff] exact match in snippet view article find links to article

Parallel transport can be shown to be a continuous function on the Sobolev space of paths of finite energy, introduced in Klingenberg (1982). In this