The nonlocal inverse problem of Donsker and Varadhan

DOI10.1016/j.jfa.2023.109885OpenAlexW3109056600MaRDI QIDQ2689344

Erwin Topp, Gonzalo Dávila

Publication date: 10 March 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13295

zbMATH Keywords

weak solutioninverse problemeigenvalue problemnonlocal diffusion

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Second-order elliptic equations (35J15) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• Unnamed Item
• Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
• Boundary regularity for fully nonlinear integro-differential equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Interior regularity of solutions of non-local equations in Sobolev and Nikol'skii spaces
• Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps
• Three-term commutator estimates and the regularity of \(^{1}/_{2}\)-harmonic maps into spheres
• On general minimax theorems
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Elliptic partial differential equations of second order
• Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms
• A priori bounds and existence of solutions for some nonlocal elliptic problems
• Existence, nonexistence and multiplicity results for nonlocal Dirichlet problems
• Regularity for parabolic systems with critical growth in the gradient and applications
• On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
• Fractional calculus for power functions and eigenvalues of the fractional Laplacian
• First eigenvalue and maximum principle for fully nonlinear singular operators
• Regularity theory for fully nonlinear integro-differential equations
• On the principal eigenvalue of second-order elliptic differential operators
• The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
• The fractional Laplacian has infinite dimension

This page was built for publication: The nonlocal inverse problem of Donsker and Varadhan