Partial regularity and singular sets of solutions of higher order parabolic systems
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Publication:731384
DOI10.1007/s10231-008-0067-4zbMath1183.35158OpenAlexW2076710629MaRDI QIDQ731384
Publication date: 2 October 2009
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-008-0067-4
partial regularityfractional Sobolev spacessingular setdivergence form\(A\)-caloric approximationhigher order papabolic systemsparabolic Hausdorff dimensionpartial Hölder regularity
Related Items
The boundary regularity of non-linear parabolic systems. II, The boundary regularity of non-linear parabolic systems I, Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix, Regularity in parabolic systems with continuous coefficients, Partial regularity for parabolic systems with non-standard growth, Partial regularity for subquadratic parabolic systems by \(\mathcal{A}\)-caloric approximation, Regularity problem for \(2m\)-order quasilinear parabolic systems with non smooth in time principal matrix. \((A(t),m)\)-caloric approximation method, Local higher integrability for parabolic quasiminimizers in metric spaces, Self-improving property of nonlinear higher order parabolic systems near the boundary, Harmonic type approximation lemmas, The regularity of general parabolic systems with degenerate diffusion, Regularity in parabolic Dini continuous systems, Parabolic Systems with Polynomial Growth and Regularity, Global higher integrability for parabolic quasiminimizers in metric measure spaces
Cites Work
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- Gradient estimates for a class of parabolic systems
- On the nonlinear parabolic systems in divergence form. Hölder continuity and partial Hölder continuity of the solutions
- Compact sets in the space \(L^ p(0,T;B)\)
- On the partial regularity of weak solutions on nonlinear parabolic systems
- Differentiability of the solutions of nonlinear elliptic systems with natural growth
- Bounds for the singular set of solutions to non linear elliptic systems
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- The singular set of solutions to non-differentiable elliptic systems
- Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
- Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
- Differentiability of solutions for the non-degenerate \(p\)-Laplacian in the Heisenberg group
- The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
- Maggiorazioni interpolatorie negli spazi \(H_\lambda^{m,p}(\Omega)\)
- \(H^p\) spaces of several variables
- Second order parabolic systems, optimal regularity, and singular sets of solutions
- Parabolic Systems with Polynomial Growth and Regularity
- On functions of bounded mean oscillation
- Analytical foundations of the theory of quasiconformal mappings in R^n
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Regularity results for a class of functionals with non-standard growth