Large time behaviour for the heat equation on \(\mathbb{Z} \), moments and decay rates
From MaRDI portal
Publication:2020472
DOI10.1016/j.jmaa.2021.125137zbMath1464.39008OpenAlexW3136243307MaRDI QIDQ2020472
Jorge González-Camus, Luciano Abadias, Juan C. Pozo, Pedro José Miana
Publication date: 23 April 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125137
Heat equation (35K05) Discrete version of topics in analysis (39A12) Partial difference equations (39A14) Growth, boundedness, comparison of solutions to difference equations (39A22)
Related Items (5)
The semidiscrete damped wave equation with a fractional Laplacian ⋮ On a connection between the \(N\)-dimensional fractional Laplacian and 1-D operators on lattices ⋮ Time-step heat problem on the mesh: asymptotic behavior and decay rates ⋮ Well-posedness for fractional Cauchy problems involving discrete convolution operators ⋮ Discrete Hölder spaces and their characterization via semigroups associated with the discrete Laplacian and kernel estimates
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-local fractional derivatives. Discrete and continuous
- Large time behavior of the solutions of a semilinear parabolic equation in \(\mathbb R^ n\)
- Long time estimates for the heat kernel associated with a uniformly subelliptic symmetric second order operator
- Asymptotic behaviour of the solution of a semilinear parabolic equation
- Large time behavior for convection-diffusion equations in \(\mathbb{R}{} ^ N\)
- Long-time behaviour of heat flow: Global estimates and exact asymptotics
- Asymptotic behavior of nonlinear diffusions
- Nonlocal discrete diffusion equations and the fractional discrete Laplacian, regularity and applications
- Hölder-Lebesgue regularity and almost periodicity for semidiscrete equations with a fractional Laplacian
- Gaussian upper bounds for the heat kernels of some second-order operators on Riemannian manifolds
- Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
- Asymptotic behavior of solutions to the semidiscrete diffusion equation
- Path Laplacian operators and superdiffusive processes on graphs. I: One-dimensional case
- Harmonic analysis associated with a discrete Laplacian
- The asymptotic expansion of a ratio of gamma functions
- Vector-valued Laplace Transforms and Cauchy Problems
- One-Parameter Semigroups for Linear Evolution Equations
- L p Spectral Theory of Higher-Order Elliptic Differential Operators
- Methods for Partial Differential Equations
- Gaussian estimates for heat kernels on Lie groups
- Some simple differential difference equations and the related functions
This page was built for publication: Large time behaviour for the heat equation on \(\mathbb{Z} \), moments and decay rates
