A relation between the Dirichlet and the Regularity problem for parabolic equations

2025/11/21 by Martin Dindoš, Erika Nyström
Mathematics · #Differential Equations and Boundary Problems #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · doi:10.1016/j.jde.2025.113962

Citations

• The neumann problem for elliptic equations with non-smooth coefficients
• The Method of Layer Potentials for the Heat Equation in Lipschitz Cylinders
• Hp spaces of several variables
• L 2 Solvability and Representation by Caloric Layer Potentials in Time- Varying Domains
• 𝐿²-solvability of the Dirichlet, Neumann and regularity problems for parabolic equations with time-independent Hölder-continuous coefficients
• Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions
• Pointwise behaviour of M 1,1 Sobolev functions
• Parabolic maximal functions associated with a distribution, II
• The Neumann problem for elliptic equations with nonsmooth coefficients: Part II