Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data

DOI10.1016/j.na.2013.10.003zbMath1286.35131OpenAlexW2039863642MaRDI QIDQ2637041

Yanyan Li

Publication date: 18 February 2014

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.2013.10.003

zbMATH Keywords

Cauchy-Dirichlet problemMorrey spacehigher differentiabilityvery weak solution

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (12)

Morrey estimates for some classes of elliptic equations with a lower order term ⋮ 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
• Regularity results for solutions of a class of parabolic systems with measure data
• Gradient estimates below duality exponent for a class of linear elliptic systems
• Calderón-Zygmund estimates for parabolic measure data equations
• Regularity results for the gradient of solutions linear elliptic equations with \(L^{1,\lambda}\) data
• 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 the gradient of solutions of a class of linear elliptic systems with \(L^{1,\lambda }\) data
• Regularity results for solutions of nonlinear elliptic equations with \(L^{1,\lambda }\) data
• On the partial regularity of weak solutions on nonlinear parabolic systems
• Nonlinear parabolic equations with measure data
• Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains
• Regularity and uniqueness results in grand Sobolev spaces for parabolic equations with measure data
• Higher differentiability for the solutions of nonlinear elliptic systems with lower-order terms and \(L^{1,\theta}\)-data
• The singular set of \(\omega\)-minima
• The singular set of minima of integral functionals
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• 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
• On the existence of weak solutions of perturbated systems with critical growth.
• Functions of Vanishing Mean Oscillation
• Semilinear parabolic equations involving measures and low regularity data
• 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: Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data