A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in \(\mathbb{R}^d\)

DOI10.1016/j.jde.2021.05.001zbMath1466.35072arXiv2103.10049OpenAlexW3162543771MaRDI QIDQ2034020

Kyeong-Hun Kim, Kijung Lee, Jinsol Seo

Publication date: 18 June 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10049

zbMATH Keywords

parabolic equationmeasurable coefficientsconic domainsweighted Sobolev regularitymixed weight

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (2)

Sobolev space theory and Hölder estimates for the stochastic partial differential equations on conic and polygonal domains ⋮ On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A weighted Sobolev space theory of parabolic stochastic PDEs on non-smooth domains
• Solvability of the classical initial-boundary-value problems for the heat-conduction equation in a dihedral angle
• Elliptic equations with nonzero boundary conditions in weighted Sobolev spaces
• On stochastic partial differential equations with variable coefficients in \(C^1\) domains
• The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients
• Weighted sobolev spaces and laplace's equation and the heat equations in a half space
• On The Sobolev Space Theory of Parabolic and Elliptic Equations inC¹Domains
• A Sobolev Space Theory of SPDEs with Constant Coefficients in a Half Space
• Sobolev Space Theory of Parabolic Equations Degenerating on the Boundary ofC¹Domains
• The Dirichlet problem for non‐divergence parabolic equations with discontinuous in time coefficients in a wedge
• Sobolev spaces with weights in domains and boundary value problems for degenerate elliptic equations
• Some properties of traces for stochastic and deterministic parabolic weighted Sobolev spaces

This page was built for publication: A weighted Sobolev regularity theory of the parabolic equations with measurable coefficients on conic domains in \(\mathbb{R}^d\)