The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points
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Publication:1080250
DOI10.2996/kmj/1138036957zbMath0599.58043OpenAlexW1971338686WikidataQ115224630 ScholiaQ115224630MaRDI QIDQ1080250
Publication date: 1984
Published in: Kodai Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2996/kmj/1138036957
fundamental solutionzeta functioninitial-value problemcone-like singular pointsFourier integral operator theory
Related Items (8)
On functional determinants of Laplacians in polygons and simplicial complexes ⋮ On the heat operators of cuspidally stratified Riemannian spaces ⋮ Hodge Theory of Singular Algebraic Curves ⋮ Heat kernel estimate in a conical singular space ⋮ Hölder continuity of the heat semigroup on conic manifolds ⋮ Determinants of Laplacians on the Space of Conical Metrics on the Sphere ⋮ Comparison between two analytic torsions on orbifolds ⋮ Estimations of the heat kernel on conic manifolds and applications
Cites Work
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- \(L^ 2\)-cohomology and intersection homology of stratified spaces
- De Rham-Hodge theory on a manifold with cone-like singularities
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Analytic torsion and the heat equation
- An asymptotic expansion for the heat equation
- R-torsion and the Laplacian on Riemannian manifolds
- A special Stoke's theorem for complete Riemannian manifolds
- The heat equation method of Milgram and Rosenbloom for open Riemannian manifolds
- On the diffraction of waves by conical singularities. I
- The Neumann’s problem for differential forms on Riemannian manifolds
- On the spectral geometry of spaces with cone-like singularities
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