Solvability of the $L^p$ Dirichlet problem for the heat equation is equivalent to parabolic uniform rectifiability in the case of a parabolic Lipschitz graph
Fuente:
arXiv
Saved in:
| Main Authors: | Bortz, Simon, Hofmann, Steven, Martell, José María, Nyström, Kaj |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Solvability of the $L^p$ Dirichlet problem for the heat equation implies parabolic uniform rectifiability
by: Bortz, Simon, et al.
Published: (2025)
by: Bortz, Simon, et al.
Published: (2025)
Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains
by: Yao, Liding
Published: (2021)
by: Yao, Liding
Published: (2021)
On sharp heat kernel estimates in the context of Fourier-Dini expansions
by: Langowski, Bartosz, et al.
Published: (2024)
by: Langowski, Bartosz, et al.
Published: (2024)
On well-posedness for parabolic Cauchy problems of Lions type with rough initial data
by: Auscher, Pascal, et al.
Published: (2024)
by: Auscher, Pascal, et al.
Published: (2024)
Two-weight inequality for the heat flow and solvability of Hardy-Hénon parabolic equation
by: Tsutsui, Yohei
Published: (2024)
by: Tsutsui, Yohei
Published: (2024)
A linear operator bounded in all Besov but not in Triebel-Lizorkin spaces
by: Yao, Liding
Published: (2024)
by: Yao, Liding
Published: (2024)
On well-posedness for non-autonomous parabolic Cauchy problems with rough initial data
by: Hou, Hedong
Published: (2025)
by: Hou, Hedong
Published: (2025)
The global regularity of vortex patches revisited
by: Verdera, Joan
Published: (2021)
by: Verdera, Joan
Published: (2021)
A'priori estimates and precise regularity for parabolic systems with discontinuous data
by: Palagachev, Dian K., et al.
Published: (2004)
by: Palagachev, Dian K., et al.
Published: (2004)
On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces
by: Auscher, Pascal, et al.
Published: (2023)
by: Auscher, Pascal, et al.
Published: (2023)
Hörmander's multiplier theorem on $H^p$-spaces in the rational Dunkl setting
by: Dziubański, Jacek, et al.
Published: (2026)
by: Dziubański, Jacek, et al.
Published: (2026)
Characterizations of parabolic Muckenhoupt classes
by: Kinnunen, Juha, et al.
Published: (2023)
by: Kinnunen, Juha, et al.
Published: (2023)
Harmonic analysis in Dunkl settings
by: Bui, The Anh
Published: (2024)
by: Bui, The Anh
Published: (2024)
Characterizations of parabolic reverse Hölder classes
by: Kinnunen, Juha, et al.
Published: (2023)
by: Kinnunen, Juha, et al.
Published: (2023)
New Estimates of Rychkov's Universal Extension Operator for Lipschitz Domains and Some Applications
by: Shi, Ziming, et al.
Published: (2021)
by: Shi, Ziming, et al.
Published: (2021)
On Hardy-Littlewood-Sobolev estimates for degenerate Laplacians
by: Auscher, Pascal, et al.
Published: (2025)
by: Auscher, Pascal, et al.
Published: (2025)
A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem
by: Karlsen, Kenneth H., et al.
Published: (2022)
by: Karlsen, Kenneth H., et al.
Published: (2022)
A relation between the Dirichlet and the Regularity problem for Parabolic equations
by: Dindoš, Martin, et al.
Published: (2024)
by: Dindoš, Martin, et al.
Published: (2024)
Endpoint estimates for the fractal circular maximal function and related local smoothing
by: Lee, Sanghyuk, et al.
Published: (2025)
by: Lee, Sanghyuk, et al.
Published: (2025)
Extrapolation of solvability of the parabolic $L^p$ Neumann problem on bounded Lipschitz cylinders
by: Dindoš, Martin, et al.
Published: (2026)
by: Dindoš, Martin, et al.
Published: (2026)
Hardy spaces, Besov spaces and Triebel--Lizorkin spaces associated with a discrete Laplacian and applications
by: Bui, The Anh, et al.
Published: (2024)
by: Bui, The Anh, et al.
Published: (2024)
The $\mathrm{CMO}$-Dirichlet problem for elliptic systems in the upper half-space
by: Cao, Mingming
Published: (2022)
by: Cao, Mingming
Published: (2022)
Solvability of the Poisson-Dirichlet problem with interior data in $L^{p'}$-Carleson spaces and its applications to the $L^{p}$-regularity problem
by: Mourgoglou, Mihalis, et al.
Published: (2022)
by: Mourgoglou, Mihalis, et al.
Published: (2022)
The $L^p$ regularity problem for parabolic operators
by: Dindoš, Martin, et al.
Published: (2024)
by: Dindoš, Martin, et al.
Published: (2024)
Finite-time blow-up in fully parabolic quasilinear Keller-Segel systems with supercritical exponents
by: Cao, Xinru, et al.
Published: (2024)
by: Cao, Xinru, et al.
Published: (2024)
Regularized Brascamp--Lieb inequalities
by: Bez, Neal, et al.
Published: (2021)
by: Bez, Neal, et al.
Published: (2021)
Some new characterizations of BLO and Campanato spaces in the Schrödinger setting
by: Chen, Cong, et al.
Published: (2024)
by: Chen, Cong, et al.
Published: (2024)
Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness
by: Choi, Jae-Hwan, et al.
Published: (2023)
by: Choi, Jae-Hwan, et al.
Published: (2023)
Local dyadic fractional Sobolev spaces: paraproducts, commutators, and the algebra property
by: Fragkiadaki, Valentia, et al.
Published: (2026)
by: Fragkiadaki, Valentia, et al.
Published: (2026)
Multipliers for Hardy-Orlicz spaces and applications
by: Bakas, Odysseas, et al.
Published: (2023)
by: Bakas, Odysseas, et al.
Published: (2023)
One-Sided and Parabolic BLO Spaces with Time Lag and Their Applications to Muckenhoupt $A_1$ Weights and Doubly Nonlinear Parabolic Equations
by: Kong, Weiyi, et al.
Published: (2026)
by: Kong, Weiyi, et al.
Published: (2026)
Boundedness of a class of multilinear operators and their iterated commutators on Morrey-Banach function spaces
by: Tan, Jiawei, et al.
Published: (2025)
by: Tan, Jiawei, et al.
Published: (2025)
Calderon-type commutators and chamber lifting in the Dunkl setting
by: Han, Yongsheng, et al.
Published: (2026)
by: Han, Yongsheng, et al.
Published: (2026)
Orlicz spaces and the uncertainty principle
by: Iosevich, A., et al.
Published: (2025)
by: Iosevich, A., et al.
Published: (2025)
Localization and interpolation of parabolic $L^p$ Neumann problems
by: Dindoš, Martin, et al.
Published: (2026)
by: Dindoš, Martin, et al.
Published: (2026)
Global-in-time maximal regularity for the Cauchy problem of the heat equation in BMO and applications
by: Duong, Xuan Thinh, et al.
Published: (2024)
by: Duong, Xuan Thinh, et al.
Published: (2024)
The parabolic Dirichlet problem with continuous and Hölder boundary data, and rough coefficients
by: Hidalgo-Palencia, Pablo, et al.
Published: (2025)
by: Hidalgo-Palencia, Pablo, et al.
Published: (2025)
Boundary Value Problems in graph Lipschitz domains in the plane with $A_{\infty}$-measures on the boundary
by: Ballesta-Yagüe, Fernando, et al.
Published: (2025)
by: Ballesta-Yagüe, Fernando, et al.
Published: (2025)
Parabolic Muckenhoupt Weights Characterized by Parabolic Fractional Maximal and Integral Operators with Time Lag
by: Kong, Weiyi, et al.
Published: (2024)
by: Kong, Weiyi, et al.
Published: (2024)
Matrix Weighted $L^p$ Estimates in the Nonhomogeneous Setting
by: la Cigoña, Fernando Benito-de, et al.
Published: (2025)
by: la Cigoña, Fernando Benito-de, et al.
Published: (2025)
Similar Items
-
Solvability of the $L^p$ Dirichlet problem for the heat equation implies parabolic uniform rectifiability
by: Bortz, Simon, et al.
Published: (2025) -
Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains
by: Yao, Liding
Published: (2021) -
On sharp heat kernel estimates in the context of Fourier-Dini expansions
by: Langowski, Bartosz, et al.
Published: (2024) -
On well-posedness for parabolic Cauchy problems of Lions type with rough initial data
by: Auscher, Pascal, et al.
Published: (2024) -
Two-weight inequality for the heat flow and solvability of Hardy-Hénon parabolic equation
by: Tsutsui, Yohei
Published: (2024)