Regularity results for solutions of a class of parabolic systems with measure data

DOI10.1016/j.na.2011.10.008zbMath1242.35073OpenAlexW2070854827MaRDI QIDQ412668

Salvatore Leonardi, A.I.Kozhanov

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.008

zbMATH Keywords

Cauchy-Dirichlet problemMorrey regularity of the gradientVMO coefficients

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs with measure (35R06)

Related Items (14)

Morrey estimates for some classes of elliptic equations with a lower order term ⋮ Conformable fractional integrals versions of Hermite-Hadamard inequalities and their generalizations ⋮ Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ Existence of Hölder continuous solutions for a class of degenerate fourth-order elliptic equations ⋮ Morrey estimates for a class of elliptic equations with drift term ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮ Optimal fractional differentiability for nonlinear parabolic measure data problems ⋮ Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients ⋮ Bounded solutions of fourth-order nonlinear elliptic equations with convection terms ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ On the existence of weak solutions to a class of nonlinear elliptic systems with drift term ⋮ Generalizing Hopf’s Boundary Point Lemma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gradient estimates below duality exponent for a class of linear elliptic systems
• Regularity results for the gradient of solutions linear elliptic equations with \(L^{1,\lambda}\) data
• Gradient estimates below the duality exponent
• The boundary regularity of non-linear parabolic systems. II
• The boundary regularity of non-linear parabolic systems I
• 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
• Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data
• Parabolic and elliptic systems with VMO coefficients
• Very weak solutions of higher-order degenerate parabolic systems
• Local existence for quasilinear parabolic systems under nonlinear boundary conditions
• Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth
• On \(BMO\) regularity for linear elliptic systems
• Nonlinear parabolic equations with measure data
• A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with \(VMO\) coefficients.
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data
• Very weak solutions of parabolic systems of \(p\)-Laplacian type
• The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
• Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms
• Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
• Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Second order parabolic systems, optimal regularity, and singular sets of solutions
• Higher differentiability for solutions of linear elliptic systems with measure data
• Regularity up to the boundary for the gradient of solutions of linear elliptic systems withVMO-coefficients andL^1,λdata
• Parabolic Systems with Polynomial Growth and Regularity
• Problems paraboliques semi-lineaires avec donnees measures
• Functions of Vanishing Mean Oscillation
• Semilinear parabolic equations involving measures and low regularity data
• Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
• Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L 1,λ data

This page was built for publication: Regularity results for solutions of a class of parabolic systems with measure data