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Semismall perturbations in the martin theory for elliptic equations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Non-uniqueness of the Positive Cauchy Problem for Parabolic Equations
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Nonuniqueness of the Positive Dirichlet Problem for Parabolic Equations in Cylinders
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Lifetime and Heat Kernel Estimates in Non-Smooth Domains
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Potential Theory on Harmonic Spaces
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The lifetime of conditioned Brownian motion
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Intrinsic ultracontractivity of Dirichlet Laplacians in non-smooth domains
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The Green function for uniformly elliptic equations
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On an estimate of Cranston and McConnell for elliptic diffusions in uniform domains
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Martin compactification and asymptotics of Green functions for Schr�dinger operators with anisotropic potentials
inferredcites →https://doi.org/10.1007/bf02787105openalex-snapshot
Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains
inferredcites →https://doi.org/10.1007/bf02788818openalex-snapshot
On the localization of binding for Schrödinger operators and its extension to elliptic operators
inferredcites →https://doi.org/10.1007/bfb0085486openalex-snapshot
Uniform restricted parabolic Harnack inequality, separation principle, and ultracontractivity for parabolic equations
inferredcites →https://doi.org/10.1016/0022-0396(89)90083-1openalex-snapshot
Criticality and ground states for second-order elliptic equations
inferredcites →https://doi.org/10.1016/0022-1236(84)90076-4openalex-snapshot
Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
inferredcites →https://doi.org/10.1016/0022-1236(89)90118-3openalex-snapshot
Heat kernel, eigenfunctions, and conditioned Brownian motion in planar domains
inferredcites →https://doi.org/10.1016/0022-1236(91)90107-gopenalex-snapshot
Intrinsic ultracontractivity and eigenfunction estimates for Schrödinger operators
inferredcites →https://doi.org/10.1016/s0022-247x(86)80001-4openalex-snapshot
Green function for Schrödinger operator and conditioned Feynman-Kac gauge
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On Positive Solutions of Elliptic Equations with Periodic Coefficients in N, Spectral Results and Extensions to Elliptic Operators on Riemannian Manifolds
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Positive Harmonic Functions and Diffusion
inferredcites →https://doi.org/10.1017/cbo9780511566158openalex-snapshot
Heat Kernels and Spectral Theory
inferredcites →https://doi.org/10.1017/s0013091500028339openalex-snapshot
Exit times for elliptic diffusions and BMO
inferredcites →https://doi.org/10.1090/memo/0540openalex-snapshot
Manifolds with group actions and elliptic operators
inferredcites →https://doi.org/10.1090/s0002-9947-1941-0003919-6openalex-snapshot
Minimal Positive Harmonic Functions
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0936811-2openalex-snapshot
Conditional gauge and potential theory for the Schrödinger operator
inferredcites →https://doi.org/10.1090/s0002-9947-1992-1068934-5openalex-snapshot
Subcriticality and gaugeability of the Schrödinger operator
inferredcites →https://doi.org/10.1090/tranopenalex-snapshot
Transactions of the American Mathematical Society
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Inverse Problem for a Curved Quantum Guide
inferredcites →https://doi.org/10.1214/aop/1176991989openalex-snapshot
Conditional Brownian Motion in Rapidly Exhaustible Domains
inferredcites →https://doi.org/10.1215/s0012-7094-86-05347-0openalex-snapshot
Structure of positive solutions to (−Δ+V)u=0 in Rn
inferredcites →https://doi.org/10.1215/s0012-7094-88-05743-2openalex-snapshot
On positive solutions of second-order elliptic equations, stability results, and classification
inferredcites →https://doi.org/10.1215/s0012-7094-89-05922-xopenalex-snapshot
Green’s functions for the Schrödinger equation with short-range potentials
inferredcites →https://doi.org/10.1215/s0012-7094-93-06913-xopenalex-snapshot
On the existence of positive solutions of nonlinear elliptic equations—a probabilistic potential theory approach
inferredcites →https://doi.org/10.1307/mmj/1029004755openalex-snapshot
Conditioned Brownian motion and hyperbolic geodesics in simply connected domains.
inferredcites →https://doi.org/10.14492/hokmj/1381517762openalex-snapshot
Comparison of Martin boundaries for Schrödinger operators
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Introduction to Potential Theory.
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On Construction of Martin Boundaries for Second Order Elliptic Equations
inferredcites →https://doi.org/10.32917/hmj/1206127930openalex-snapshot
On the upper bounds of Green potentials
inferredcites →https://doi.org/10.32917/hmj/1206138225openalex-snapshot
Harmonic and full-harmonic structures on a differentiable manifold
inferredcites →https://doi.org/10.5802/aif.204openalex-snapshot
Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
inferredcites →https://doi.org/10.5802/aif.240openalex-snapshot
An axiomatic treatment of pairs of elliptic differential equations
inferredcites →https://doi.org/10.5802/aif.346openalex-snapshot
The Martin boundaries of equivalent sheaves

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Conditional Gaugeability and Subcriticality of Generalized Schrödinger Operators
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Martin Boundaries of Elliptic Skew Products, Semismall Perturbations, and Fundamental Solutions of Parabolic Equations
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On Principal Eigenvalues for Indefinite-Weight Elliptic Problems
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Some Aspects of Large Time Behavior of the Heat Kernel: An Overview with Perspectives
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Positive Solutions of Superlinear Elliptic Equations with Respect to the Schrödinger Operator
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Sharp estimates for the Green function, 3G inequalities, and nonlinear Schrödinger problems in uniform cones
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Global comparison of perturbed Green functions
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The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations
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Norm estimate of Green operator, perturbation of Green function and integrability of superharmonic functions
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Maximum and anti-maximum principlesand eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
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The 3G-inequality for general Schr�dinger operators on Lipschitz domains
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Stability of Martin boundary under non-local Feynman-Kac perturbations
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Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
inferred← citeshttps://doi.org/10.1007/s11118-013-9353-xopenalex-snapshot
A Parabolic Approach to Martin Boundaries for Elliptic Equations in Skew Product Form
inferred← citeshttps://doi.org/10.1007/s11854-008-0015-7openalex-snapshot
Lower estimates for a perturbed green function
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On the equivalence of heat kernels of second-order parabolic operators
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Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains
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Estimates of Green and Martin kernels for Schrödinger operators with singular potential in Lipschitz domains
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A ground state alternative for singular Schrödinger operators
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Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries
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Intrinsic ultracontractivity and small perturbation for one-dimensional generalized diffusion operators
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On Green functions of second-order elliptic operators on Riemannian manifolds: The critical case
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Positive Solutions to Semi-Linear and Quasi-Linear Elliptic Equations on Unbounded Domains
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ANTI-MAXIMUM PRINCIPLES FOR INDEFINITE-WEIGHT ELLIPTIC PROBLEMS
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Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations
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Ratio limit theorem for parabolic horn-shaped domains
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Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation
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Heat kernel estimates for Schrödinger operators with decay at infinity on parabolic manifolds
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Optimal Hardy‐weights for elliptic operators with mixed boundary conditions
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General gauge and conditional gauge theorems
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The growth of the Martin kernel in a horn-shaped domain
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Intrinsic ultracontractivity of non-symmetric diffusion semigroups in bounded domains
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Representations of nonnegative solutions for parabolic equations
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Uniqueness theorems for parabolic equations and Martin boundaries for elliptic equations in skew product form
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On some strong ratio limit theorems for heat kernels
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A 3G-Theorem for Jordan Domains in R2
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On the boundedness and compactness of weighted Green operators of second-order elliptic operators
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Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semismall perturbations
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Intrinsic ultracontractivity via capacitary width
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Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation
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Spatial asymptotics of Green's function for elliptic operators and applications: a.c. spectral type, wave operators for wave equations
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Some new aspects of perturbation theory of positive solutions of second-order linear elliptic equations
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Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations
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Estimates of Green functions and harmonic measures for elliptic operators with singular drift terms
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Heat kernel and Riesz transform of Schrödinger operators
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