Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains
From MaRDI portal
Publication:2687330
DOI10.1016/j.jde.2022.12.039OpenAlexW4315477102MaRDI QIDQ2687330
Junqiang Zhang, Si Bei Yang, Da Chun Yang
Publication date: 2 March 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.12.039
degenerate elliptic operatorNeumann conditionbounded Lipschitz domainDirichlet conditionKato square root
Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)
Related Items (1)
Cites Work
- Weighted Besov and Triebel spaces: Interpolation by the real method
- Traces of Sobolev functions on fractal type sets and characterization of extension domains
- Complex interpolation of weighted Besov and Lizorkin-Triebel spaces
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Gaussian bounds for degenerate parabolic equations
- Square roots of elliptic second order divergence operators on strongly Lipschitz domains: \(L ^{2}\) theory
- Homeomorphisms preserving \(A_ p\)
- Fractional powers of dissipative operators
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- Weighted Hardy spaces
- Nonlinear potential theory and weighted Sobolev spaces
- On the Kato problem and extensions for degenerate elliptic operators
- Perturbation theory for linear operators.
- The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds.
- The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
- \(L^p\)-estimates for the square root of elliptic systems with mixed boundary conditions
- Sharp weighted norm inequalities for singular integrals with non-smooth kernels
- The Kato square root problem on locally uniform domains
- The Kato square root problem for mixed boundary conditions
- Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets
- Weighted \(L^p\) estimates of Kato square roots associated to degenerate elliptic operators
- Duality and interpolation of anisotropic Triebel-Lizorkin spaces
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. II: Off-diagonal estimates on spaces of homogeneous type
- The solution of the Kato problem for degenerate elliptic operators with Gaussian bounds
- Divergence Operator and Related Inequalities
- Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis
- The local regularity of solutions of degenerate elliptic equations
- The Structure of the Reverse Holder Classes
- Classical Fourier Analysis
- The Kato problem for operators with weighted ellipticity
- Characterizations of Sobolev spaces associated to operators satisfying off‐diagonal estimates on balls
- THE KATO SQUARE ROOT PROBLEM FOR MIXED BOUNDARY VALUE PROBLEMS
- Square roots of elliptic second order divergence operators on strongly Lipschitz domains: \(L^p\) theory
- Extrapolation of Carleson measures and the analyticity of Kato's square-root operators.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains