Cover Image

$L^p$ estimate of the heat equation on a bounded domain

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Furuto, Yoshinori, Iwabuchi, Tsukasa, Kohama, Ryusei
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35K05, 35K08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Higher-order derivative estimates for the parabolic Lamé system on a smooth bounded domain
by: Furuto, Yoshinori, et al.
Published: (2026)

Large-time estimates for the Dirichlet heat equation in exterior domains
by: Cañizo, José A., et al.
Published: (2025)

Green functions for the heat and Laplace equations with dynamical boundary conditions in a ball
by: Yang, Xuzhou
Published: (2025)

Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients
by: Addona, Davide, et al.
Published: (2024)

Barriers, Barenblatt solutions and regularity of soda can domains for the heat equation and nonlinear $p$-parabolic equations
by: Björn, Anders, et al.
Published: (2026)

Degenerate parabolic equations in divergence form: fundamental solution and Gaussian bounds
by: Baadi, Khalid
Published: (2025)

The Cauchy problem associated to the logarithmic Laplacian with an application to the fundamental solution
by: Chen, Huyuan, et al.
Published: (2023)

Diffusion bounds for non-autonomous degenerate parabolic equations
by: Lemm, Marius, et al.
Published: (2026)

Kinetic maximal $L^p_μ(L^p)$-regularity for the fractional Kolmogorov equation with variable density
by: Niebel, Lukas
Published: (2021)

Curved fronts of combustion reaction-diffusion equations
by: Sheng, Wei-Jie, et al.
Published: (2026)

On the Hardy-Hénon heat equation with an inverse square potential
by: Bhimani, Divyang G., et al.
Published: (2024)

A Schauder regularity theory for nonlocal and mixed local-nonlocal viscous Hamilton$\unicode{x2013}$Jacobi equations
by: Jakobsen, Espen Robstad, et al.
Published: (2025)

Dirichlet heat kernel estimates for parabolic nonlocal equations
by: Svinger, Philipp, et al.
Published: (2025)

Asymptotic behaviour of the heat equation in an exterior domain with general boundary conditions II. The case of bounded and of $L^{p}$ data
by: Domínguez-de-Tena, Joaquín, et al.
Published: (2024)

Non-divergence evolution operators modeled on Hörmander vector fields with Dini continuous coefficients
by: Faini, Matteo
Published: (2025)

Existence for the Discrete Nonlinear Fragmentation Equation with Degenerate Diffusion
by: Das, Saumyajit, et al.
Published: (2026)

$L^p$ estimates for the Laplacian via blow-up
by: Lewenstein-Sanpera, Jan, et al.
Published: (2024)

Spectral estimate for the Laplace-Beltrami operator on the hyperbolic half-plane
by: Rouveyrol, Marc
Published: (2024)

Constructive solutions of the heat equation with Stieltjes derivatives
by: Senín, Clara, et al.
Published: (2026)

Convergence of approximate solutions constructed by the finite volume method for the moisture transport model in porous media
by: Morimura, Akiko, et al.
Published: (2025)

Asymptotic behaviour of solutions and free boundaries of the anisotropic slow diffusion equation
by: Feo, Filomena, et al.
Published: (2024)

Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems
by: Abdellaoui, Boumediene, et al.
Published: (2025)

Inhomogeneous Scaling Function and Heat Kernel Estimates on Fractals Satisfying Some Resistance Conditions
by: Chang, Diwen, et al.
Published: (2026)

Large-Time Asymptotics for Heat and Fractional Heat Equations on the Lattice and General Finite Subgraphs
by: Chen, Rui, et al.
Published: (2026)

The master equation for mean field game systems with fractional and nonlocal diffusions
by: Jakobsen, Espen Robstad, et al.
Published: (2023)

$L_p$-estimates for parabolic equations in divergence form with a half-time derivative
by: Jung, Pilgyu, et al.
Published: (2024)

Towards a Schauder theory for fractional viscous Hamilton--Jacobi equations
by: Jakobsen, Espen R., et al.
Published: (2024)

Genuinely sharp estimates for heat kernels on Weyl chambers
by: Stempak, Krzysztof
Published: (2024)

Constructing heat kernels on infinite graphs
by: Jorgenson, Jay, et al.
Published: (2024)

Flat blow-up solutions for the complex Ginzburg Landau equation
by: Duong, Giao Ky, et al.
Published: (2023)

On the nonlocal heat equation for certain Lévy operators and the uniqueness of positive solutions
by: Gonzálvez, Irene, et al.
Published: (2025)

Pointwise estimates of the fundamental solution to the fractional Kolmogorov equation
by: Grube, Florian
Published: (2024)

Stability and instability of constant stationary solutions to some integro-differential equations
by: Chen, Yuming, et al.
Published: (2024)

Higher-order derivative estimates for the heat equation on a smooth domain
by: Furuto, Yoshinori, et al.
Published: (2025)

Schauder estimates for parabolic $p$-Laplace systems
by: Bögelein, Verena, et al.
Published: (2025)

On the decay of mass with respect to an invariant measure for semilinear heat equations in exterior domains
by: Fino, Ahmad, et al.
Published: (2025)

Pointwise dispersive estimates for Schrodinger and wave equations in a conical singular space
by: Jia, Qiuye, et al.
Published: (2024)

Well-posedness and stability of the self-similar profile for a thin-film equation with gravity
by: Gnann, Manuel V., et al.
Published: (2026)

Blow-up and global mild solutions for a Hardy-Hénon parabolic equation on the Heisenberg group
by: Castillo, Ricardo, et al.
Published: (2025)

McKean-Vlasov equations and nonlinear Fokker-Planck equations with critical singular Lorentz kernels
by: Röckner, Michael, et al.
Published: (2025)