Maximal Lp-regularity of parabolic problems with boundary dynamics of relaxation type
By Robert Denk, Jan Prüss, Rico Zacher. 2008
88 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/90adf7918c0398264dcb9d3714efe489e5efd8b8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Inhomogeneous symbols, the Newton polygon, and maximal Lp-regularity (2008, background): “Symbols of this type frequently arise in the treatment of half-space models for (free) boundary value problems.”
- Null controllability for parabolic equations with dynamic boundary conditions of reactive-diffusive type (2013, background): “In particular, for the mathematical theory of surface diffusion boundary conditions we refer to [5, 8, 14, 26, 30, 34].”
- Traces and embeddings of anisotropic function spaces (2012, unknown): “If more than one boundary condition is involved, then mixed derivative (or Newton polygon) embeddings are important to determine the optimal regularities of all boundary inhomogeneities, see [11, 12, 13, 15, 22, 27, 28] and Section 3.”
- A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions (2021, background): “For further applications to parabolic problems with boundary dynamics of relaxation type, we refer to [90].”
- Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions (2012, methodology): “We derive a nonredundant description of Eρ,μ as in the case μ = 1 presented in [6].”
- General Parabolic Mixed Order Systems in Lp and Applications (2013, methodology): “Due to the pressure term and the necessary reductions, the linearizations of the two-phase Navier-Stokes equations can also not be handled by the results in [DPZ08].”