The hot spots problem in planar domains with on hole

Related Items (21)

The hot spots conjecture can be false: some numerical examples ⋮ Simultaneous boundary hitting by coupled reflected Brownian motions ⋮ Critical points of Laplace eigenfunctions on polygons ⋮ A planar convex domain with many isolated ``hot spots on the boundary ⋮ Improved upper bounds for the hot spots constant of Lipschitz domains ⋮ An upper bound on the hot spots constant ⋮ The ``hot spots conjecture on higher dimensional Sierpinski gaskets ⋮ A counterexample to the ``hot spots conjecture on nested fractals ⋮ On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems ⋮ Location of hot spots in thin curved strips ⋮ The ``hot spots conjecture for the Sierpiński gasket ⋮ Hot spots in convex domains are in the tips (up to an inradius) ⋮ The ``hot spots conjecture on the Vicsek set ⋮ The “hot spots” conjecture for a certain class of planar convex domains ⋮ A spectral approach to the shortest path problem ⋮ On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains ⋮ Hot spots conjecture for a class of acute triangles ⋮ Neumann Bessel heat kernel monotonicity ⋮ The two hyperplane conjecture ⋮ Spectral clustering revisited: information hidden in the Fiedler vector ⋮ On Novel Geometric Structures of Laplacian Eigenfunctions in $\mathbb{R}^3$ and Applications to Inverse Problems

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