Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage
From MaRDI portal
Publication:4557583
DOI10.5802/aif.3113zbMath1406.42019arXiv1509.09005OpenAlexW2237067724WikidataQ115479254 ScholiaQ115479254MaRDI QIDQ4557583
Igor E. Verbitsky, Michael Frazier
Publication date: 26 November 2018
Published in: Annales de l’institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.09005
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Brownian motion (60J65) Perturbation theories for operators and differential equations in quantum theory (81Q15)
Related Items (6)
Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers ⋮ Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications ⋮ Global pointwise estimates of positive solutions to sublinear equations ⋮ Sublinear Equations and Schur’s Test for Integral Operators ⋮ Finite energy solutions to inhomogeneous nonlinear elliptic equations with sub-natural growth terms ⋮ Existence of the gauge for fractional Laplacian Schrödinger operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and regularity of positive solutions of elliptic equations of Schrödinger type
- On the Picard principle for \(\Delta + \mu \)
- Some remarks on elliptic problems with critical growth in the gradient
- Global comparison of perturbed Green functions
- Corrigendum to ``Some remarks on elliptic problems with critical growth in the gradient [J. Differential equations 222 (2006) 21-62]
- Green function for Schrödinger operator and conditioned Feynman-Kac gauge
- Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)
- Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
- First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains
- Criteria of solvability for multidimensional Riccati equations
- Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small
- Blow up for \(u_ t- \Delta u=g(u)\) revisited
- Nonlinear elliptic equations with natural growth in the gradient and source terms in Lorentz spaces
- Global estimates for kernels of Neumann series and Green's functions
- ON THE CONNECTION BETWEEN TWO QUASILINEAR ELLIPTIC PROBLEMS WITH SOURCE TERMS OF ORDER 0 OR 1
- Carleson measure and balayage
- From Brownian Motion to Schrödinger’s Equation
- Comparison results for PDEs with a singular potential
- Global Green’s Function Estimates
- Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
- Sobolev Spaces
This page was built for publication: Positive Solutions to Schrödinger’s Equation and the Exponential Integrability of the Balayage