The Oblique Derivative Problem for the Heat Equation in Lipschitz Cylinders

DOI10.2307/2048059zbMath0681.35040OpenAlexW4255332644MaRDI QIDQ4730163

Russell M. Brown

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2048059

zbMATH Keywords

heat equationexistence and uniquenessLipschitz domainsoblique derivative problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) A priori estimates in context of PDEs (35B45)

Related Items

Area Integral Estimates for Caloric Functions

Cites Work

• 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
• Intermediate schauder theory for second order parabolic equations iii. the tusk conditions
• Area Integral Estimates for Caloric Functions
• The Oblique Derivative Problem on Lipschitz Domains with L p Data
• Weighted norm inequalities for maximal functions and singular integrals
• Pointwise estimates and quasilinear parabolic equations
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
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