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Longer titles found: Semi-elliptic operator (view), Hypoelliptic operator (view)

searching for Elliptic operator 16 found (48 total)

Zeta function (operator) (303 words) [view diff] no match in snippet view article

The zeta function of a mathematical operator O {\displaystyle {\mathcal {O}}} is a function defined as ζ O ( s ) = tr O − s {\displaystyle \zeta _{\mathcal

Fredholm module (180 words) [view diff] exact match in snippet view article find links to article

Such a module is, up to trivial changes, the same as the abstract elliptic operator introduced by Atiyah (1970). If A is an involutive algebra over the

Garnik A. Karapetyan (2,372 words) [view diff] exact match in snippet view article find links to article

142. pp. 8–18. Karapetyan G.A., Darbinyan A.A., Index of the semi-elliptic operator with variable coefficients of special type // Collection of Scientific

Analytic torsion (2,129 words) [view diff] exact match in snippet view article find links to article

\partial M=0} , the Laplacian is then a symmetric positive semi-positive elliptic operator with pure point spectrum 0 ≤ λ 0 ≤ λ 1 ≤ ⋯ → ∞ . {\displaystyle 0\leq

Functional determinant (2,716 words) [view diff] exact match in snippet view article find links to article

MR 1325463 Hörmander, Lars (1968), "The spectral function of an elliptic operator", Acta Mathematica, 121: 193–218, doi:10.1007/BF02391913, ISSN 0001-5962

Harnack's inequality (1,188 words) [view diff] exact match in snippet view article find links to article

domain in R n {\displaystyle \mathbb {R} ^{n}} and consider the linear elliptic operator L u = ∑ i , j = 1 n a i j ( t , x ) ∂ 2 u ∂ x i ∂ x j + ∑ i = 1 n

Gerd Grubb (421 words) [view diff] case mismatch in snippet view article find links to article

Characterization of the Non-Local Boundary Value Problems Associated With an Elliptic Operator, was supervised by Ralph S. Phillips. She completed a habilitation

Nikolai Bakhvalov (437 words) [view diff] exact match in snippet view article find links to article

convergence of a relaxation method with natural constraints on the elliptic operator. USSR Comp. Math. Math. Phis.6, 101–13. Homogenisation: Averaging

Maximal function (1,467 words) [view diff] exact match in snippet view article find links to article

general results can be obtained where the Laplacian is replaced by an elliptic operator via similar techniques. Moreover, with some appropriate conditions

Zeta function regularization (2,125 words) [view diff] exact match in snippet view article find links to article

EMS Press, 2001 [1994] Seeley, R. T. (1967), "Complex powers of an elliptic operator", in Calderón, Alberto P. (ed.), Singular Integrals (Proc. Sympos

Elliptic boundary value problem (3,615 words) [view diff] exact match in snippet view article find links to article

)=-\int _{\Omega }f\varphi } . If L {\displaystyle L} is a general elliptic operator, the same reasoning leads to the bilinear form A ( u , φ ) = ∫ Ω ∇

Multigrid method (2,813 words) [view diff] exact match in snippet view article find links to article

convergence of a relaxation method with natural constraints on the elliptic operator. USSR Comp. Math. Math. Phys. 6, 101–13. Achi Brandt (April 1977)

Chern–Gauss–Bonnet theorem (1,853 words) [view diff] exact match in snippet view article find links to article

always finite. The index theorem says that this is constant as the elliptic operator is varied smoothly. It is equal to a topological index, which can

Stochastic analysis on manifolds (3,647 words) [view diff] exact match in snippet view article find links to article

generator of a continuous strong Markov process is a second-order elliptic operator. The infinitesimal generator of Brownian motion is the Laplace operator

Vladimir Ilyin (mathematician) (1,334 words) [view diff] exact match in snippet view article

for estimating the remainder term of the spectral function of an elliptic operator in both the metric L ∞ {\displaystyle L_{\infty }} and the metric

Zonal spherical function (6,698 words) [view diff] exact match in snippet view article find links to article

classical Lie algebraic arguments is to note that, since Δ is an elliptic operator with analytic coefficients, by analytic elliptic regularity any eigenfunction