2 citations · 2 across the 1 of their papers we have counts for
5 papers
The first eigenvalue of the Laplacian, isoperimetric constants, and the Max Flow Min Cut Theorem
Daniel Grieser
We show how 'test' vector fields may be used to give lower bounds for the Cheeger constant of a Euclidean domain (or Riemannian manifold with boundary), and hence for the lowest ei…
Uniform bounds for eigenfunctions of the Laplacian on manifolds with boundary
D. Grieser
Let be an eigenfunction of the Laplacian on a compact manifold with boundary, with Dirichlet or Neumann boundary conditions, and let be the corresponding eigenvalue. We…
Basics of the b-calculus
Daniel Grieser
R. B. Melrose's b-calculus provides a framework for dealing with problems of partial differential equations that arise in singular or degenerate geometric situations. This article…
The Free Boundary Problem in the Optimization of Composite Membranes
S. Chanillo, D. Grieser, K. Kurata
This is a continuation of the paper 'Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes' by S. Chanillo, D. Grieser, M. Imai, K. Kurat…
On the L^2-Stokes theorem and Hodge theory for singular algebraic varieties
D. Grieser, M. Lesch
For a projective algebraic variety with isolated singularities, endowed with a metric induced from an embedding, we consider the analysis of the natural partial differential op…