On area integral estimates for solutions to parabolic systems in time-varying and non-smooth cylinders

DOI10.1090/S0002-9947-07-04328-0zbMath1151.35043OpenAlexW2078150669MaRDI QIDQ3506705

Kaj Nyström

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04328-0

zbMATH Keywords

maximal functionCarleson measuresquare function

Mathematics Subject Classification ID

Related Items (2)

Boundary Value Problems for Parabolic Operators in a Time-Varying Domain ⋮ Green's functions for parabolic systems of second order in time-varying domains

Cites Work

• Unnamed Item
• Unnamed Item
• Approximation of harmonic functions
• Estimates of harmonic measure
• Area integral estimates for higher order elliptic equations and systems
• A new approach to absolute continuity of elliptic measure, with applications to non-symmetric equations
• Boundary value problems and duality between \(L^p\) Dirichlet and regularity problems for second order parabolic systems in non-cylindrical domains
• \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains
• The Dirichlet problem for parabolic operators with singular drift terms
• Continuity of Solutions of Parabolic and Elliptic Equations
• On Harnack's theorem for elliptic differential equations
• Weighted norm inequalities for the Lusin area integral and the nontangential maximal functions for functions harmonic in a Lipschitz domain
• Absolute continuity of parabolic measure and area integral estimates in non-cylindrical domains
• The method of layer potentials for the heat equation in time-varying domains

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