Off diagonal short time asymptotics for fundamental solution of diffusion equation
From MaRDI portal
Publication:4161991
DOI10.1080/03605307708820048zbMath0381.35039OpenAlexW2009066534MaRDI QIDQ4161991
Publication date: 1978
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605307708820048
Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20) Other special methods applied to PDEs (35A25)
Related Items
Short time asymptotics for fundamental solutions of higher order parabolic equation ⋮ Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time ⋮ Unique solvability of the inverse two-dimensional problem of magnetotelluric sounding for \(H\)-polarization ⋮ Asymptotic behaviour of fundamental solutions and potential theory of parabolic operators with variable coefficients ⋮ Continuous wavelets on compact manifolds ⋮ An inversion formula for the Segal-Bargmann transform on a symmetric space of non-compact type ⋮ A simple proof of magnetic and electric Aharonov-Bohm effects ⋮ Développement asymptotique du noyau de la chaleur hypoelliptique hors du cut-locus ⋮ Two-sided estimates for the trace of the difference of two semigroups ⋮ Schwartz kernel asymptotics and regularized traces of diffusion semigroups ⋮ Propagation of singularities for subelliptic wave equations ⋮ Kernel density estimation via diffusion ⋮ On the equivalence of heat kernels of second-order parabolic operators ⋮ Yang-Mills fields and random holonomy along Brownian bridges ⋮ Convergence of the self‐dual U(1)‐Yang–Mills–Higgs energies to the (n−2)$(n-2)$‐area functional ⋮ A probabilistic approach to the Yang-Mills heat equation. ⋮ Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds ⋮ On the small time behavior of the nonlinear estimation problem for finite bandwidth signals ⋮ Spectral aspects of the Berezin transform ⋮ Hypoelliptic random heat kernels: A case study ⋮ Parametrix, heat kernel asymptotics, and regularized trace of the diffusion semigroup ⋮ Heat flow out of a compact manifold ⋮ Strong short-time asymptotics and convolution approximation of the heat kernel ⋮ Sharp estimates for some functions of the Laplacian on noncompact symmetric spaces ⋮ A refinement of the Thomas–Fermi approximation for the N body problem ⋮ Spectral Gaps on Discretized Loop Spaces ⋮ Local analyticity of Fourier transforms ⋮ Wave propagation speed on fractals ⋮ Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results ⋮ Sur la convergence radiale des potentiels associés à l'équation de Helmholtz ⋮ Wave kernels related to second-order operators. ⋮ MAPPING PROPERTIES OF HEAT KERNELS, MAXIMAL REGULARITY, AND SEMI-LINEAR PARABOLIC EQUATIONS ON NONCOMPACT MANIFOLDS ⋮ Aharonov–Bohm effect revisited ⋮ The method of ascent and \(\cos(\sqrt{A^2+B^2})\) ⋮ Existence of resonances in magnetic scattering ⋮ Transmutation techniques and observability for time-discrete approximation schemes of conservative systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Fourier integral operators. I
- Fourier integral operators. II
- Exact and asymptotic solutions of the cauchy problem
- DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
- A Ray Method for the Asymptotic Solution of the Diffusion Equation