Cover Image

$L^p$-asymptotic behaviour of solutions of the heat equation on Riemannian symmetric spaces of noncompact type

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Naik, Muna, Ray, Swagato K., Sarkar, Jayanta
Format:	Preprint
Published:	2024
Subjects:	Classical Analysis and ODEs Primary 43A85, Secondary 22E30, 58J35, 35B40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Rellich-type asymptotics for eigenfunctions on rank one symmetric spaces of noncompact type
by: Ganguly, Pritam
Published: (2025)

$L^p$-$L^q$ Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type
by: Rana, Tapendu, et al.
Published: (2024)

Uniform heat kernel asymptotics for the Grushin operator
by: Chen, Yimeng, et al.
Published: (2026)

Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type
by: Kumar, Pratyoosh, et al.
Published: (2024)

Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type
by: Rana, Tapendu, et al.
Published: (2025)

Regularity and pointwise convergence for dispersive equations on $\mathbb{H}^2$
by: Dewan, Utsav
Published: (2025)

Regularity and pointwise convergence of solutions of the Schrödinger operator with radial initial data on Damek-Ricci spaces
by: Dewan, Utsav
Published: (2024)

Delsarte-type extremal problems and convolution roots on homogeneous spaces
by: Ramabulana, Mita D.
Published: (2025)

Mapping properties of the Schrödinger maximal function on Damek--Ricci spaces
by: Dewan, Utsav, et al.
Published: (2024)

Middle convolutions of KZ-type equations and single-elimination tournaments
by: Oshima, Toshio
Published: (2025)

The fractional Riesz transform and their commutator in Dunkl setting
by: Chen, Yanping, et al.
Published: (2025)

Hölder regularity and Liouville Theorem for the Schrödinger equation with certain critical potentials, and applications to Dirichlet problems
by: Li, Bo, et al.
Published: (2024)

Sharp $L^p$-estimates for wave equation on $ax+b$ groups
by: Wang, Yunxiang, et al.
Published: (2025)

Wave equation on general noncompact symmetric spaces
by: Anker, Jean-Philippe, et al.
Published: (2020)

Maximal operators on spaces BMO and BLO
by: Karagulyan, Grigori A.
Published: (2025)

Bounded oscillation operators on BMO spaces
by: Karagulyan, Grigori A.
Published: (2025)

An FIO-based approach to $L^p$-bounds for the wave equation on $2$-step Carnot groups: the case of Métivier groups
by: Martini, Alessio, et al.
Published: (2024)

Cesàro summability of Hölder functions and Talbot effect on rank one Riemannian symmetric spaces of compact type
by: Dewan, Utsav
Published: (2026)

Regularity and pointwise convergence for dispersive equations on Riemannian symmetric spaces of compact type
by: Dewan, Utsav, et al.
Published: (2025)

Long-time asymptotics for the heat kernel and for heat equation solutions on homogeneous trees
by: Papageorgiou, Effie
Published: (2026)

Spectral multipliers and wave equation for sub-Laplacians: lower regularity bounds of Euclidean type
by: Martini, Alessio, et al.
Published: (2018)

Lifting of fractional Sobolev mappings to noncompact covering space
by: Van Schaftingen, Jean
Published: (2023)

On extremal problems of Delsarte type for positive definite functions on LCA groups
by: Berdysheva, Elena E., et al.
Published: (2024)

Growth Estimates for Solutions to the Wave Equation on Damek--Ricci Spaces
by: Wang, Yunxiang, et al.
Published: (2025)

Inverses of Product Kernels and Flag Kernels on Graded Lie Groups
by: Stokolosa, Amelia
Published: (2023)

Solvability of the $L^p$ Dirichlet problem for the heat equation implies parabolic uniform rectifiability
by: Bortz, Simon, et al.
Published: (2025)

Fractional Maximal operator in hyperbolic spaces
by: Ibañez-Firnkorn, Gonzalo, et al.
Published: (2023)

Measure-preserving mappings from the unit cube to some symmetric spaces
by: Beltrán, Carlos, et al.
Published: (2023)

Regularity and pointwise convergence for dispersive equations with asymptotically concave phase on Damek-Ricci spaces
by: Dewan, Utsav
Published: (2025)

Classical inequalities for all Fourier matrix coefficients of $\mathrm{SL}(2,\mathbb{R})$ and their applications
by: Kumar, Vishvesh, et al.
Published: (2024)

Duality for Delsarte's extremal problem on compact Gelfand pairs
by: Berdysheva, Elena E., et al.
Published: (2026)

$L^p$ asymptotics for the heat equation on symmetric spaces for non-symmetric solutions
by: Papageorgiou, Effie
Published: (2024)

Shifted wave equation on noncompact symmetric spaces
by: Kuznetsova, Yulia, et al.
Published: (2025)

Maximal estimates and pointwise convergence for solutions of certain dispersive equations with radial initial data on Damek-Ricci spaces
by: Dewan, Utsav
Published: (2025)

Pushforward measures on homogeneous spaces of non-unimodular groups and properties of modular functions
by: Satomi, Takashi
Published: (2024)

Local smoothing and Hardy spaces for Fourier integral operators on manifolds
by: Liu, Naijia, et al.
Published: (2022)

Lacunary spherical maximal operators on hyperbolic spaces
by: Wang, Yunxiang, et al.
Published: (2025)

Initial singularities of positive solutions of the Heat equation on Stratified Lie groups
by: Dewan, Utsav
Published: (2023)

Invariant kernels on Riemannian symmetric spaces: a harmonic-analytic approach
by: Da Costa, Nathael, et al.
Published: (2023)

Pointwise convergence of solutions of the Schrödinger equation along general curves on Damek-Ricci spaces
by: Dewan, Utsav
Published: (2024)