Tent space well-posedness for parabolic Cauchy problems with rough coefficients
From MaRDI portal
Publication:2003954
DOI10.1016/j.jde.2020.07.033zbMath1450.35137arXiv1909.12197OpenAlexW2975861456MaRDI QIDQ2003954
Publication date: 13 October 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.12197
tent spacesCarleson measurespolyharmonic operatornon-autonomous elliptic operatorswell-posedness of parabolic Cauchy problems
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for higher-order parabolic systems (35K46)
Related Items
Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms, Note on time-regularity for weak solutions to parabolic systems of 𝑝-Laplace type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators
- Gaussian heat kernel bounds through elliptic Moser iteration
- Geometric flows with rough initial data
- Nonlinear potential theory on metric spaces
- On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients
- Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients
- Some new function spaces and their applications to harmonic analysis.
- On the partial regularity of weak solutions on nonlinear parabolic systems
- The Neumann problem for elliptic equations with non-smooth coefficients
- Equivalence between regularity theorems and heat kernel estimates for higher-order elliptic operators and systems under divergence form
- The Kato square root problem for higher order elliptic operators and systems on \(\mathbb{R}^n\)
- On regularity of weak solutions to linear parabolic systems with measurable coefficients
- Uniformly elliptic operators with measurable coefficients
- Singular integral operators on tent spaces
- \(L^2\) well-posedness of boundary value problems for parabolic systems with measurable coefficients
- Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
- \(H^p\) spaces of several variables
- Les espaces du type de Beppo Levi
- PARABOLIC EQUATIONS
- On functions of bounded mean oscillation
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Parabolic equations with rough data
- Modern Fourier Analysis
- On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients
- A harnack inequality for parabolic differential equations
- Bounds for the fundamental solution of a parabolic equation
- Sobolev Spaces
- Well-posedness for the Navier-Stokes equations
