A Note on Boundary Value Problems for the Heat Equation in Lipschitz Cylinders

DOI10.2307/2159945zbMath0806.35055OpenAlexW4251823274MaRDI QIDQ3142861

Zhongwei Shen, Russell M. Brown

Publication date: 2 January 1994

Full work available at URL: https://doi.org/10.2307/2159945

zbMATH Keywords

time-dependent boundary conditions

Mathematics Subject Classification ID

Related Items (2)

Analytic properties of heat equation solutions and reachable sets ⋮ Spectral boundary value problems in Lipschitz domains for strongly elliptic systems in Banach spaces \(H_p ^\sigma\) and \(B_p^\sigma \)

Cites Work

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• A backward Harnack inequality and Fatou theorem for nonnegative solutions of parabolic equations
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• Hardy spaces and the Neumann problem in \(L^ p\) for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems
• Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
• The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders
• Estimates of Caloric Measure and the Initial-Dirichlet Problem for the Heat Equation in Lipschitz Cylinders
• Boundary Value Problems for Parabolic Lame Systems and a Nonstationary Linearized System of Navier-Stokes Equations in Lipschitz Cylinders
• The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
• The Neumann problem on Lipschitz domains
• Some Maximal Inequalities

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