Free boundary regularity for almost every solution to the Signorini problem
DOI10.1007/s00205-021-01617-8OpenAlexW3133193168MaRDI QIDQ2662031
Xavier Fernández-Real, Xavier Ros-Oton
Publication date: 8 April 2021
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.02438
Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Integro-differential operators (47G20) Integro-partial differential equations (35R09) Miscellaneous topics in partial differential equations (35Rxx) Qualitative properties of solutions to partial differential equations (35Bxx) Integral, integro-differential, and pseudodifferential operators (47Gxx)
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Cites Work
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- Boundary Harnack estimates in slit domains and applications to thin free boundary problems
- Fractional Laplacians on domains, a development of Hörmander's theory of \(\mu\)-transmission pseudodifferential operators
- Higher regularity of the free boundary in the elliptic Signorini problem
- Higher regularity of the free boundary in the parabolic Signorini problem
- Generic regularity of free boundaries for the obstacle problem
- On the number of singularities for the obstacle problem in two dimensions
- Obstacle problems and free boundaries: an overview
- On the measure and the structure of the free boundary of the lower dimensional obstacle problem
- The thin obstacle problem: a survey
- Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian
- Obstacle problems for integro-differential operators: higher regularity of free boundaries
- An epiperimetric inequality approach to the parabolic Signorini problem
- Higher regularity for the fractional thin obstacle problem
- Some new monotonicity formulas and the singular set in the lower dimensional obstacle problem
- Higher regularity of the free boundary in the obstacle problem for the fractional Laplacian
- Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
- Optimal regularity of lower dimensional obstacle problems
- Regularity of the obstacle problem for a fractional power of the laplace operator
- The structure of the free boundary for lower dimensional obstacle problems
- Further regularity for the signorini problem
- The local regularity of solutions of degenerate elliptic equations
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
- Global regularity for the free boundary in the obstacle problem for the fractional Laplacian
- Financial Modelling with Jump Processes
- Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications
- Optimal Regularity and the Free Boundaryin the Parabolic Signorini Problem
- An Extension Problem Related to the Fractional Laplacian
- Option pricing when underlying stock returns are discontinuous
- Prevalence
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