On parabolic and elliptic equations with singular or degenerate coefficients
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Publication:6079093
DOI10.1512/iumj.2023.72.9202zbMath1529.35141arXiv2007.04385MaRDI QIDQ6079093
Publication date: 25 October 2023
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.04385
weighted Sobolev spacesMuckenhoupt weightsCalderón-Zygmund estimatessingular and degenerate parabolic equations
PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Singular elliptic equations (35J75) Singular parabolic equations (35K67)
Related Items (3)
Nondivergence form degenerate linear parabolic equations on the upper half space ⋮ On higher order boundary Harnack and analyticity of free boundaries ⋮ Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems
Cites Work
- Unnamed Item
- Extension properties and boundary estimates for a fractional heat operator
- Bernstein theorem and regularity for a class of Monge-Ampère equations
- Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
- Parabolic equations with measurable coefficients
- Elliptic equations in divergence form with partially BMO coefficients
- On \(L^p\)-resolvent estimates for second-order elliptic equations in divergence form
- Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations
- Smoothness of linear laminates
- All time \(C^\infty\)-regularity of the interface in degenerate diffusion: A geometric approach
- Weighted mixed-norm \(L_p\)-estimates for elliptic and parabolic equations in non-divergence form with singular coefficients
- Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms
- Solvability of parabolic equations in divergence form with partially BMO coefficients
- Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations
- Parabolic and Elliptic Systems in Divergence Form with Variably Partially BMO Coefficients
- Optimal Hölder Continuity for a Class of Degenerate Elliptic Problems with an Application to Subsonic-Sonic Flows
- Weighted-W^{1,p} estimates for weak solutions of degenerate and singular elliptic equations
- Parabolic and Elliptic Equations with VMO Coefficients
- The local regularity of solutions of degenerate elliptic equations
- Existence, Uniqueness, and Regularity Results for Elliptic Equations with Drift Terms in Critical Weak Spaces
- Regularity Theory and Extension Problem for Fractional Nonlocal Parabolic Equations and the Master Equation
- An Extension Problem Related to the Fractional Laplacian
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