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Hot spots conjecture for simply-connected planar and convex domains
Hot spots conjecture. The function $u$ attains its maximum only on the boundary $\partial\Omega$ . The source presents this as the restricted formulation motivated by counterexample…
Conjecturerefutedhot-spots-conjecture neumann-eigenfunctions spectral-geometryarXiv posted 2 days ago

Hot spots conjecture for simply-connected planar and convex domains