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On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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On Harnack's theorem for elliptic differential equations
inferredcites →https://doi.org/10.1002/cpa.3160350206openalex-snapshot
Brownian motion and harnack inequality for Schrödinger operators
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Partial Differential Equations
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Lifetime of conditioned Brownian motion in Lipschitz domains
inferredcites →https://doi.org/10.1007/bf00534989openalex-snapshot
The lifetime of conditioned Brownian motion
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Quasiconformal mappings and extendability of functions in sobolev spaces
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On symmetrizations in parabolic equations
inferredcites →https://doi.org/10.1007/bf02798768openalex-snapshot
Uniform domains and the quasi-hyperbolic metric
inferredcites →https://doi.org/10.1016/0001-8708(82)90055-xopenalex-snapshot
Boundary behavior of harmonic functions in non-tangentially accessible domains
inferredcites →https://doi.org/10.1016/s0079-8169(08)x6051-9openalex-snapshot
Eigenvalues in Riemannian Geometry
inferredcites →https://doi.org/10.1016/s0924-6509(08)x7035-7openalex-snapshot
Dirichlet Forms and Markov Processes
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11830-5openalex-snapshot
Bounds for the fundamental solution of a parabolic equation
inferredcites →https://doi.org/10.1090/s0002-9939-1984-0735565-4openalex-snapshot
Equivalence of the Green’s functions for diffusion operators in 𝑅ⁿ: a counterexample
inferredcites →https://doi.org/10.1090/s0002-9947-1968-0226044-7openalex-snapshot
On the Boundary Values of Harmonic Functions
inferredcites →https://doi.org/10.1090/s0002-9947-1970-0274787-0openalex-snapshot
Positive Harmonic Functions on Lipschitz Domains
inferredcites →https://doi.org/10.1090/s0273-0979-1986-15478-9openalex-snapshot
Potential theory for the Schrödinger equation
inferredcites →https://doi.org/10.1112/jlms/s2-6.3.504openalex-snapshot
Hausdorff Dimension and Quasiconformal Mappings
inferredcites →https://doi.org/10.1214/aop/1176991989openalex-snapshot
Conditional Brownian Motion in Rapidly Exhaustible Domains
inferredcites →https://doi.org/10.1214/aop/1176997023openalex-snapshot
Distribution Function Inequalities for Martingales
inferredcites →https://doi.org/10.1215/kjm/1250523765openalex-snapshot
General boundary conditions for multi-dimensional diffusion processes
inferredcites →https://doi.org/10.1215/s0012-7094-84-05145-7openalex-snapshot
The Lp-integrability of Green’s functions and fundamental solutions for elliptic and parabolic equations
inferredcites →https://doi.org/10.2969/jmsj/01910046openalex-snapshot
Regular points and Green functions in Markov processes
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Lifetime and Heat Kernel Estimates in Non-Smooth Domains
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Conditional Brownian Motion, Whitney Squares and the Conditional Gauge Theorem
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Reflected Brownian Motion in Time Dependent Domains
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Probabilistic Proofs of Classical Theorems
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Overview of the “Hot Spots” Problem
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Neumann Eigenfunctions and Eigenvalues
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Synchronous and Mirror Couplings
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Parabolic Boundary Harnack Principle
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Neumann Heat Kernel Monotonicity
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The h-path distribution of the lifetime of conditioned brownian motion for non-smooth domains
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Lifetimes of conditioned diffusions
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The lifetime of conditioned Brownian motion in planar domains of infinite area
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The lifetime of diffusion processes with application to conditioned diffusions
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Semismall perturbations in the martin theory for elliptic equations
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Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains
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A stationary planar random graph with singular stationary dual: dyadic lattice graphs
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Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains
inferred← citeshttps://doi.org/10.1016/0022-1236(91)90107-gopenalex-snapshot
Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
inferred← citeshttps://doi.org/10.1016/0304-4149(94)00081-4openalex-snapshot
The lifetime of conditioned diffusions associated with some degenerate elliptic operators
inferred← citeshttps://doi.org/10.1016/j.jfa.2015.06.015openalex-snapshot
Sharp martingale inequalities and applications to Riesz transforms on manifolds, Lie groups and Gauss space
inferred← citeshttps://doi.org/10.1023/a:1017937128762openalex-snapshot
Generalized Cranston–McConnell Inequalities for Discontinuous Superharmonic Functions
inferred← citeshttps://doi.org/10.1080/03605309908821432openalex-snapshot
Lower bound gradient estimates for solutions of schrodinger equations and heat kernels
inferred← citeshttps://doi.org/10.1090/s0002-9947-1990-0957083-8openalex-snapshot
A Conformal Inequality Related to the Conditional Gauge Theorem
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Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian
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Contractivity Properties of Schrödinger Semigroups on Bounded Domains
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Conditioned Brownian motion in planar domains
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Quantitative Inequalities for the Expected Lifetime of Brownian Motion
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On the upper bounds of Green potentials
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On Dirichlet-Schrödinger operators with strong potentials
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