Laplace operator

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Laplace operator

n
(Mathematics) maths the operator ∂2/∂x2 + ∂2/∂y2 + ∂2/∂z2,. Symbol: 2 Also called: Laplacian
References in periodicals archive ?
This volume examines elliptic PDEs (partial differential equations) on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds, specifically establishing continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schr|dinger operators, generalized Yamabe constants, and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology.
Analysis of the Hodge Laplacian on the Heisenberg Group
MEller, Peloso, and Ricci consider the Hodge Laplacian delta on the Heisenberg group endowed with a left-variant and U(n)-invariant Riemannian metric.