The 𝐿^{𝑝} Dirichlet problem and nondivergence harmonic measure
From MaRDI portal
Publication:4779889
DOI10.1090/S0002-9947-02-03145-8zbMath1081.35021arXivmath/0204055MaRDI QIDQ4779889
Publication date: 28 October 2002
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0204055
Boundary value problems for second-order elliptic equations (35J25) Perturbations in context of PDEs (35B20) Connections of harmonic functions with differential equations in higher dimensions (31B35)
Related Items
A connection between regularity and Dirichlet problems for non-divergence elliptic equations ⋮ Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces ⋮ Characterization of Lipschitz functions via commutators of multilinear singular integral operators in variable Lebesgue spaces ⋮ Green's function, caloric measure and Fatou theorem for nondivergence parabolic equations in non cylindrical domains ⋮ The \(L^{p}\) Dirichlet problem for second-order, non-divergence form operators: solvability and perturbation results ⋮ The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces ⋮ Unnamed Item ⋮ On the optimal numerical parameters related with two weighted estimates for commutators of classical operators and extrapolation results ⋮ Estimates for the multiplicative square function of solutions to nondivergence elliptic equations ⋮ Characterization of Lipschitz functions via the commutators of singular and fractional integral operators in variable Lebesgue spaces ⋮ The \(L^p\) Dirichlet problem for second order elliptic operators and a \(p\)-adapted square function ⋮ Commutators of singular integrals on spaces of homogeneous type ⋮ Mixed weak estimates of Sawyer type for commutators of generalized singular integrals and related operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive solutions of elliptic equations in nondivergence form and their adjoints
- Area integral estimates for elliptic differential operators with non- smooth coefficients
- Fatou theorems for some nonlinear elliptic equations
- The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
- The theory of weights and the Dirichlet problem for elliptic equations
- Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
- Estimates of harmonic measure
- Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations
- Weak type-\((1,1)\) inequalities and regularity properties of adjoint and normalized adjoint solutions to linear nondivergence form operators with VMO coefficients
- Elliptic partial differential equations of second order
- Construction of a singular elliptic-harmonic measure
- Harnack's inequality for elliptic equations and the Hölder property of their solutions
- A Criterion for the Absolute Continuity of the Harmonic Measure Associated With an Elliptic Operator
- Equivalence of the Green's Functions for Diffusion Operators in R n : A Counterexample
- On the Absolute Continuity of Elliptic Measures
- On the Poisson integral for Lipschitz and $C^{1}$-domains
- The local regularity of solutions of degenerate elliptic equations
- W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
- Weighted norm inequalities for maximal functions and singular integrals
- Functions of Vanishing Mean Oscillation
- The equivalence of two conditions for weight functions
This page was built for publication: The 𝐿^{𝑝} Dirichlet problem and nondivergence harmonic measure