Heat content asymptotics for operators of Laplace type with Neumann boundary conditions

DOI10.1007/BF02571714zbMath0791.58091WikidataQ114693470 ScholiaQ114693470MaRDI QIDQ1323401

Peter B. Gilkey, S. J. Desjardins

Publication date: 10 May 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174612

zbMATH Keywords

Riemannian manifoldNeumann boundary conditionssmooth boundaryheat content asymptoticsoperator of Laplace type

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (6)

Statistics of diffusive encounters with a small target: three complementary approaches ⋮ Heat content asymptotics for sub-Riemannian manifolds ⋮ First-order heat content asymptotics on \(\mathsf{RCD} (K, N)\) spaces ⋮ Asymptotically short term behavior of solutions to one dimensional diffusion processes ⋮ Neumann heat content asymptotics with singular initial temperature and singular specific heat ⋮ Heat content asymptotics for higher order Laplacians

Cites Work

• Unnamed Item
• The spectral geometry of a Riemannian manifold
• Mean curvature and the heat equation
• Heat content asymptotics of a Riemannian manifold with boundary
• Heat equation on a hemisphere
• Surface energy from heat content asymptotics

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