Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data
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Publication:5963595
DOI10.1007/s00526-015-0926-yzbMath1338.35252arXiv1511.06218OpenAlexW2203912571MaRDI QIDQ5963595
Publication date: 22 February 2016
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.06218
weak solutionsRadon measuredivergence form parabolic equationLorentz-Morrey spacesReifenberg-flat domainRiccati type equationsweighted Lorentz spaces
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global gradient estimates for general nonlinear parabolic equations in nonsmooth domains
- Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
- Global estimates for quasilinear elliptic equations on Reifenberg flat domains
- Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
- Gradient estimates below the duality exponent
- Quasilinear Riccati type equations with distributional data in Morrey space framework
- Parabolic equations in Reifenberg domains
- Free boundary regularity for harmonic measures and Poisson kernels
- Lebesgue spaces of parabolic potentials
- Gradient estimates via non-linear potentials
- Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
- Boundary regularity for solutions of degenerate parabolic equations
- Poisson kernel characterization of Reifenberg flat chord arc domains
- Boundary and initial regularity for solutions of degenerate parabolic equations
- Parabolic equations with BMO nonlinearity in Reifenberg domains
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