Phillip S. Harrington
Affiliation confirmed via AI analysis of OpenAlex, ORCID, and web sources.
Professor
Also affiliated: Central Michigan University (2018); University of South Dakota (2006–2008); Thi Qar University (2018–2019)
Research Areas
Biomedical Subjects
Links
Biography and Research Information
OverviewAI-generated summary
Phillip S. Harrington is a Professor at the University of Arkansas at Fayetteville. His research has explored complex mathematical topics, including the $\bar{\partial}$-Neumann problem on pseudoconvex domains and CR-manifolds. His work has also addressed physiological responses to heat stress in occupational settings, specifically investigating electrical utility workers in Australia. Harrington's scholarly contributions include over 50 publications, with an h-index of 10 and more than 300 citations.
His mathematical research focuses on function theory and partial differential equations, particularly concerning regularity results and boundary behavior of solutions. In parallel, his applied research examines human physiological responses to environmental stressors like high temperatures, contributing to occupational health and safety studies. He has collaborated with Andrew Raich on multiple publications.
Metrics
- h-index: 10
- Publications: 51
- Citations: 301
Positions
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Professor 2019–presentUniversity of Arkansas Department of Mathematical Sciences ORCID
Selected Publications
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The ∂-problem on Z(q)-domains (2026)
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The ∂-problem on Z(q)-domains (2026)
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Sobolev regularity of the Bergman projection on a smoothly bounded Stein domain that is not hyperconvex (2025)
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Sobolev Regularity for the Bergman Projection on Relatively Compact Domains in Hermitian Manifolds (2025)
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Maximal Estimates for the $${\bar{\partial }}$$-Neumann Problem on Non-pseudoconvex Domains (2024)
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Boundary invariants and the closed range property for ∂¯ (2022)
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On competing definitions for the Diederich–Fornæss index (2022)
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Strong closed range estimates: necessary conditions and applications (2022)
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A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem (2021)
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Exact sequences and estimates for the $$\overline{\partial }$$-problem (2021)
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The ∂¯-Neumann operator with Sobolev estimates up to a finite order (2020)
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Hartogs domains and the Diederich–Fornæss index (2019)
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Closed range of $$\overline \partial $$ on unbounded domains in ℂn (2019)
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The $\bar{\partial}$-Neumann operator with the Sobolev norm of integer orders (2019)
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Lp mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates (2018)
Collaboration Network
Top Collaborators
- Regularity Results for [image omitted] on CR-Manifolds of Hypersurface Type
- Closed range of ∂¯ in L2-Sobolev spaces on unbounded domains in Cn
- Regularity equivalence of the Szegö projection and the complex Green operator
- A remark on boundary estimates on unbounded Z(q) domains in
- Closed range of $$\overline \partial $$ on unbounded domains in ℂn
Showing 5 of 12 shared publications
- A Modified Morrey-Kohn-Hörmander Identity and Applications to the $$\overline{\partial }$$-Problem
- Exact sequences and estimates for the $$\overline{\partial }$$-problem
- The ∂-problem on Z(q)-domains
- The ∂-problem on Z(q)-domains
- The ∂¯-Neumann operator with Sobolev estimates up to a finite order
- The $\bar{\partial}$-Neumann operator with the Sobolev norm of integer orders
- Regularity equivalence of the Szegö projection and the complex Green operator
- Lp mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates
- Hartogs domains and the Diederich–Fornæss index