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Elliptic Theory for Sets with Higher Co-Dimensional Boundaries.
- Format:
- Book
- Author/Creator:
- David, Guy.
- Series:
- Memoirs of the American Mathematical Society
- Memoirs of the American Mathematical Society ; v.274
- Language:
- English
- Subjects (All):
- Differential equations, Elliptic.
- Degenerate differential equations.
- Harmonic functions.
- Harmonic analysis.
- Boundary value problems.
- Physical Description:
- 1 online resource (136 pages)
- Edition:
- 1st ed.
- Place of Publication:
- Providence : American Mathematical Society, 2022.
- Summary:
- "Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension. The aim of this manuscript is to develop a version of elliptic theory, associated to a linear PDE, which ultimately yields a notion analogous to that of the harmonic measure, for sets of codimension higher than 1"-- Provided by publisher.
- Contents:
- The Harnack chain condition and the doubling property
- Traces
- Poincaré inequalities
- Completeness and density of smooth functions
- The chain rule and applications
- The extension operator
- Definition of solutions
- Harmonic measure
- Green functions
- The comparison principle.
- Notes:
- Description based on publisher supplied metadata and other sources.
- "November 2021, volume 274."
- Includes bibliographical references.
- Other Format:
- Print version: David, Guy Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
- ISBN:
- 9781470469153
- 1470469154
- OCLC:
- 1295277368
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