Partial regularity for parabolic systems of double phase type

2025/10/04 by Ok, Jihoon, Scilla, Giovanni, Stroffolini, Bianca
#35D30 #35K55 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.03849

Abstract

We study partial regularity for nondegenerate parabolic systems of double phase type, where the growth function is given by H(z,s)=s^p+a(z)s^q, z=(x,t)∈Ω_T, with \tfrac2nn+2

Citations

• Higher integrability for parabolic PDEs with generalized Orlicz growth
• Mean oscillation conditions for nonlinear equation and regularity results
• Calderón-Zygmund type estimate for the singular parabolic double-phase system
• Bounded minimizers of double phase problems at nearly linear growth
• Partial regularity for degenerate systems of double phase type
• Hölder regularity for degenerate parabolic double-phase equations
• The sharp growth rate in nonuniformly elliptic Schauder theory
• Gradient higher integrability for singular parabolic double-phase systems
• Calderón-Zygmund type estimate for the parabolic double-phase system
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• Partial regularity for steady double phase fluids
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• Gradient higher integrability for degenerate parabolic double-phase systems
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• Hölder regularity for weak solutions to nonlocal double phase problems
• New Examples on Lavrentiev Gap Using Fractals
• A borderline case of Calderón-Zygmund estimates for non-uniformly elliptic problems
• Hölder regularity for nonlocal double phase equations
• Regularity for multi-phase variational problems
• Regularity for general functionals with double phase
• Regularity for general functionals with double phase
• Regularity for parabolic systems of Uhlenbeck type with Orlicz growth
• The φ-harmonic approximation and the regularity of φ-harmonic maps
• Partial regularity for minimizers of quasiconvex functionals with general growth
• Everywhere regularity of functionals with φ-growth
• Parabolic Systems with Polynomial Growth and Regularity

Related

• Partial regularity for degenerate systems of double phase type
• Partial regularity for steady double phase fluids
• A-caloric approximation and partial regularity for parabolic systems with Orlicz growth
• Existence and regularity results for a class of parabolic problems with double phase flux of variable growth
• Calderón-Zygmund type estimate for the singular parabolic double-phase system