$L^{\infty }$-regularity for a wide class of parabolic systems with general growth

DOI10.1090/proc/14099zbMath1400.35051OpenAlexW2789776391MaRDI QIDQ4683520

Teresa Isernia

Publication date: 21 September 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14099

zbMATH Keywords

Moser iterationlocal boundedness of weak solutions\(\varphi\)-caloric functions

Mathematics Subject Classification ID

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) Regularity of solutions in optimal control (49N60) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Related Items (2)

\(\mathcal{A}\)-caloric approximation and partial regularity for parabolic systems with Orlicz growth ⋮ Regularity theory for parabolic systems with Uhlenbeck structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlocal diffusion equations
• Interior regularity of space derivatives to an evolutionary, symmetric \(\varphi\)-Laplacian
• A general regularity theorem for functionals with \(\varphi \)-growth
• Nonlinear elliptic systems with general growth
• Everywhere regularity of functionals with \(\varphi \)-growth
• On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Regularity for a class of nonlinear elliptic systems
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Regularity for parabolic systems of Uhlenbeck type with Orlicz growth
• Existence of evolutionary variational solutions via the calculus of variations
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Boundary regularity for solutions of degenerate parabolic equations
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Hölder continuity for solutions of certain degenerate parabolic systems
• Regularity of solutions of certain parabolic system with nonstandard growth condition

This page was built for publication: $L^{\infty }$-regularity for a wide class of parabolic systems with general growth