DIVERGENCE FORM PARABOLIC EQUATIONS ON TIME-DEPENDENT QUASICONVEX DOMAINS

DOI10.1142/S0129167X12501285zbMath1263.35126OpenAlexW2122062795MaRDI QIDQ4916123

Lihe Wang, Huilian Jia

Publication date: 19 April 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x12501285

zbMATH Keywords

compactness methodmaximal functionVitali coveringoptimal parabolic boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30)

Related Items (3)

Gradient estimates for nonlinear elliptic equations with vanishing Neumann data in quasiconvex domains ⋮ Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains ⋮ Nonlinear gradient estimates for elliptic equations in quasiconvex domains

Cites Work

• \(L_{p}\)-solvability of the Dirichlet problem for second order parabolic equations
• Global regularity for divergence form elliptic equations on quasiconvex domains
• Parabolic equations in time dependent Reifenberg domains
• Weak solutions of parabolic equations in non-cylindrical domains
• \(W^{2,p}\) estimates for the parabolic Monge-Ampère equation

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