Orlicz regularity for higher order parabolic equations in divergence form with coefficients in weak BMO
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Publication:992020
DOI10.1007/s00013-010-0151-zzbMath1200.35041OpenAlexW1976607023MaRDI QIDQ992020
Publication date: 8 September 2010
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-010-0151-z
Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)
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Cites Work
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- Higher order elliptic operators of divergence form in \(C^{1}\) or Lipschitz domains
- Gradient estimates for a class of parabolic systems
- Parabolic equations in time dependent Reifenberg domains
- Regularity theory in Orlicz spaces for the Poisson and heat equations
- Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions
- Regularity theory in Orlicz spaces for the parabolic polyharmonic equations
- Gradient estimates in Orlicz spaces for quasilinear elliptic equation
- Fourth-order parabolic equations with weak BMO coefficients in Reifenberg domains
- Gradient estimates in Orlicz space for nonlinear elliptic equations
- Hessian estimates in Orlicz spaces for fourth-order parabolic systems in non-smooth domains
- A new proof of \(L^{p}\) estimates for the parabolic polyharmonic equations
- A geometric approach to the Calderón-Zygmund estimates
- Optimal \(W^{1,p}\) regularity theory for parabolic equations in divergence form
- A priori estimates and precise regularity for parabolic systems with discontinuous data
- Optimal regularity for the Poisson equation
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Über die Verallgemeinerung des Begriffes der zueinander konjugierten Potenzen
- Global estimates in Orlicz spaces for the gradient of solutions to parabolic systems
- Elliptic Differential Equations with Coefficients Measurable with Respect to One Variable and VMO with Respect to the Others
- Gradient estimates for thep(x)-Laplacean system