Cover Image

Higher-Order Heat Estimates and Semilinear Heat Equations on the Noncommutative Torus

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Yang, Fulin, Yang, Zhipeng
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs Functional Analysis 46L52, 42B15, 35K58
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus
by: Sukochev, Fedor, et al.
Published: (2024)

Navier-Stokes Equations on Quantum Euclidean Spaces
by: Chen, Deyu, et al.
Published: (2025)

The nonlinear estimates on quantum Besov spaces
by: Chen, Deyu, et al.
Published: (2026)

Molecules and Calderón-Zygmund operators with noncommuting kernels on $\mathrm{H}_1^c$
by: Cano-Mármol, Antonio Ismael
Published: (2025)

Calderón-Zygmund theory with noncommuting kernels via $H_1^c$
by: Cano-Mármol, Antonio Ismael, et al.
Published: (2023)

Functional analytic properties and regularity of the Möbius-invariant Willmore flow in $\mathbb{R}^n$
by: Jakob, Ruben
Published: (2020)

Generalized Morrey regularity for parabolic equations with discontinuity data
by: Guliyev, Vagif S., et al.
Published: (2012)

Nittka's invariance criterion and Hilbert space valued parabolic equations in $L_p$
by: Arendt, W., et al.
Published: (2023)

Isometric Structure in Noncommutative Symmetric Spaces
by: Fang, Kai, et al.
Published: (2025)

Bourgain-Brezis-Mironescu formula for $W^{s,p}_q$-spaces in arbitrary domains
by: Mohanta, Kaushik
Published: (2023)

A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions
by: Chen, Cheng, et al.
Published: (2023)

A Noncommutative Szegő-Type Theorem on the Row-Ball
by: Gauntlett, Connor J., et al.
Published: (2025)

Frequency theorem for parabolic equations and its relation to inertial manifolds theory
by: Anikushin, Mikhail
Published: (2020)

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces
by: Dai, Feng, et al.
Published: (2025)

Fujita exponents on quantum Euclidean spaces
by: McDonald, Edward, et al.
Published: (2026)

On well-posedness for parabolic Cauchy problems of Lions type with rough initial data
by: Auscher, Pascal, et al.
Published: (2024)

On Hardy-Littlewood-Sobolev estimates for degenerate Laplacians
by: Auscher, Pascal, et al.
Published: (2025)

Noncommutative Spherical Codes
by: Krishna, K. Mahesh
Published: (2026)

A Boxing Inequality for the Fractional Perimeter
by: Ponce, Augusto C., et al.
Published: (2017)

Maximal inequalities for square functions and quantitative mean ergodic theorems associated to group metric measure spaces
by: Bikram, Panchugopal, et al.
Published: (2025)

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

Dimension-free estimate for semi-commutative discrete spherical maximal operator
by: Zhang, Yue
Published: (2025)

Dimension-free estimates for semi-commutative discrete Hardy-Littlewood maximal operators
by: Lai, Xudong, et al.
Published: (2025)

Characterization of fractional Sobolev--Poincaré and (localized) Hardy inequalities
by: Sk, Firoj
Published: (2022)

Real-Variable Theory of Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property
by: Zhu, Chenfeng, et al.
Published: (2026)

The Biharmonic Heat Equation with General Dynamic Boundary Conditions
by: Chorfi, S. E., et al.
Published: (2026)

Almost uniform convergence for noncommutative Vilenkin-Fourier series
by: Jiao, Yong, et al.
Published: (2025)

Sharp Brezis--Seeger--Van Schaftingen--Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces
by: Hu, Pingxu, et al.
Published: (2025)

Weaving continuous generalized frames for operators
by: Massit, Hafida, et al.
Published: (2024)

Some Fixed Point Results for Interpolative Contractive Mappings in $C^{\ast}$-algebra valued metric spaces
by: Massit, Hafida, et al.
Published: (2024)

Variable Matrix-Weighted Besov Spaces
by: Yang, Dachun, et al.
Published: (2025)

$L^p$-$L^q$ estimates for transition semigroups associated to dissipative stochastic systems
by: Angiuli, Luciana, et al.
Published: (2023)

On well-posedness for non-autonomous parabolic Cauchy problems with rough initial data
by: Hou, Hedong
Published: (2025)

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)

Continuous biframes in Hilbert $C^{\ast}-$modules
by: Lfounoune, Abdellatif, et al.
Published: (2023)

Characterization of weights for the variable fractional maximal operator and weighted inequalities for variable fractional rough operators
by: Pastrana, Rodrigo M., et al.
Published: (2026)

Local existence and nonexistence of solutions to the Hardy parabolic equation with general nonlinearity
by: Tsusaka, Yo
Published: (2026)

Regularity of Characteristic Functions in Besov-Type and Triebel--Lizorkin-Type Spaces
by: Yuan, Wen, et al.
Published: (2024)

Nonexistence of Henkin type projections via a Wiener theorem for multipliers
by: Curcă, Eduard, et al.
Published: (2026)

Localised frames for tensor product spaces
by: Bytchenkoff, Dimitri, et al.
Published: (2025)