Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients
From MaRDI portal
Publication:711721
DOI10.1007/s11118-010-9175-zzbMath1205.31006OpenAlexW2031530638MaRDI QIDQ711721
Tetsuo Tsuchida, Minoru Murata
Publication date: 27 October 2010
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-010-9175-z
Asymptotic behavior of solutions to PDEs (35B40) Martin boundary theory (31C35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations
- Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- The rotation number for almost periodic potentials
- Long-time behaviour of heat flow: Global estimates and exact asymptotics
- Asymptotics of Green functions and Martin boundaries for elliptic operators with periodic coefficients.
- On the large time behavior of heat kernels on Lie groups
- Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions
- Asymptotics of periodic subelliptic operators
- Albanese maps and off diagonal long time asymptotics for the heat kernel
- Representation Theorems for Positive Solutions of Parabolic Equations
- Long-time asymptotics of heat kernels for one-dimensional elliptic operators with periodic coefficients
- Minimal Solutions of the Heat Equation and Uniqueness of the Positive Cauchy Problem on Homogeneous Spaces
- HEAT KERNELS IN ONE DIMENSION
- Manifolds with group actions and elliptic operators
- Integral representations and Liouville theorems for solutions of periodic elliptic equations
This page was built for publication: Parabolic Martin boundaries and asymptotic formulas of heat kernels for one-dimensional elliptic operators with periodic coefficients