On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p,q)-growth

DOI10.1017/prm.2018.63zbMath1450.35094OpenAlexW2911418355MaRDI QIDQ4960375

Flavia Giannetti, Christoph Scheven, Antonia Passarelli Di Napoli

Publication date: 15 April 2020

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/prm.2018.63

zbMATH Keywords

discontinuous coefficientsparabolic systemshigher differentiability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

On the continuity of solutions of quasilinear parabolic equations with generalized Orlicz growth under non-logarithmic conditions ⋮ Gradient estimates for the p-Laplacian parabolic equations with a low-order term ⋮ Existence and regularity results for a class of parabolic problems with double phase flux of variable growth ⋮ Gradient higher integrability for degenerate parabolic double-phase systems ⋮ Fractional higher differentiability for solutions of stationary Stokes and Navier-Stokes systems with Orlicz growth ⋮ Regularity results of solutions of quasilinear systems having singularities in the coefficients ⋮ Gradient bounds for solutions to irregular parabolic equations with \((p, q)\)-growth ⋮ Recent developments in problems with nonstandard growth and nonuniform ellipticity ⋮ Double-phase parabolic equations with variable growth and nonlinear sources

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of weak solutions of parabolic systems with \(p,q\)-growth
• Lipschitz estimates for systems with ellipticity conditions at infinity
• Parabolic equations with \(p,q\)-growth
• Parabolic systems with \({p,q}\)-growth: a variational approach
• Regularity in parabolic systems with continuous coefficients
• Non-linear Calderón-Zygmund theory for parabolic systems with subquadratic growth
• Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)
• Higher differentiability for \(n\)-harmonic systems with Sobolev coefficients
• Higher integrability for minimizers of asymptotically convex integrals with discontinuous coefficients
• Higher differentiability of minimizers of convex variational integrals
• Degenerate parabolic equations
• The boundary regularity of non-linear parabolic systems. II
• Gradient estimates for a class of parabolic systems
• Partial regularity of minimizers of quasiconvex integrals
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Pseudo solutions of the time-dependent minimal surface problem
• Regularity for minimizers of functionals with \(p-q\) growth
• Higher integrability for minimizers of integral functionals with \((p,q)\) growth
• Sobolev spaces on an arbitrary metric space
• Existence and regularity for elliptic equations under \(p,q\)-growth
• Existence of evolutionary variational solutions via the calculus of variations
• Higher differentiability of minimizers of variational integrals with variable exponents
• Second order parabolic systems, optimal regularity, and singular sets of solutions
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Regularity results for minimizers of irregular integrals with (p,q) growth
• Higher differentiability of solutions of parabolic systems with discontinuous coefficients
• Regularity for subquadratic parabolic systems: higher integrability and dimension estimates
• Parabolic Systems with Polynomial Growth and Regularity
• Maximal functions measuring smoothness
• Regularity of solutions of certain parabolic system with nonstandard growth condition
• Regularity of minimizers of autonomous convex variational integrals
• Higher differentiability of minimizers of variational integrals with Sobolev coefficients

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