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The heat trace for domains with curved corners

math.SP · 2025-12-04 · unverdicted · novelty 7.0

Derives local heat trace expansion to order t^{1/2} for curvilinear polygons, giving explicit curved-corner coefficient C_{1/2}(α, κ+, κ-) with sign law for Dirichlet conditions based on convexity.

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  • The heat trace for domains with curved corners math.SP · 2025-12-04 · unverdicted · none · ref 5

    Derives local heat trace expansion to order t^{1/2} for curvilinear polygons, giving explicit curved-corner coefficient C_{1/2}(α, κ+, κ-) with sign law for Dirichlet conditions based on convexity.