Potential theory
From MaRDI portal
Publication:5920304
DOI10.1007/978-1-4471-6422-7zbMath1295.31001OpenAlexW4254901049MaRDI QIDQ5920304
Publication date: 31 March 2014
Published in: Universitext (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4471-6422-7
energyDirichlet problemfine topologypotential theorycapacityharmonic functionGreen functiondiffusion processeselliptic operatorNeumann problemoblique derivative problem
Boundary value problems for second-order elliptic equations (35J25) Diffusion processes (60J60) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to potential theory (31-01)
Related Items (31)
BSE properties of some Banach function algebras ⋮ Uniform rectifiability implies Varopoulos extensions ⋮ At the edge of a one-dimensional jellium ⋮ Rectifiability of harmonic measure ⋮ Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions ⋮ Critical measures on higher genus Riemann surfaces ⋮ Square function and non-tangential maximal function estimates for elliptic operators in 1-sided NTA domains satisfying the capacity density condition ⋮ Macroscopic and edge behavior of a planar jellium ⋮ Properties of Screw Dislocation Dynamics: Time Estimates on Boundary and Interior Collisions ⋮ Positive continuous solutions for some semilinear elliptic problems in the half space ⋮ A two-phase free boundary problem for harmonic measure and uniform rectifiability ⋮ Compact sets in petals and their backward orbits under semigroups of holomorphic functions ⋮ Some sphere theorems in linear potential theory ⋮ On nonequivalence of regular boundary points for second-order elliptic operators ⋮ Absolute continuity of harmonic measure for domains with lower regular boundaries ⋮ Simulating Coulomb and log-gases with hybrid Monte Carlo algorithms ⋮ Classification of nonnegative \(g\)-harmonic functions in half-spaces ⋮ On the spectral value of semigroups of holomorphic functions ⋮ The Dirichlet-to-Neumann operator on exterior domains ⋮ Rigidity theorem by the minimal point of the Bergman kernel ⋮ Harmonic measure and Riesz transform in uniform and general domains ⋮ Semigroups of holomorphic functions and condenser capacity ⋮ On the nonexistence of Green's function and failure of the strong maximum principle ⋮ Kelvin-Möbius-invariant harmonic function spaces on the real unit ball ⋮ Nonlinear $n$-term approximation of harmonic functions from shifts of the Newtonian kernel ⋮ Harmonic measures, Green potentials and semigroups of holomorphic functions ⋮ Some properties of Dirac-Einstein bubbles ⋮ On the generalized \(\mathfrak{U}_{m, p}^f\) classes of De Giorgi-ladyzhenskaya-ural'tseva and pointwise estimates of solutions to high-order elliptic equations via Wolff potentials ⋮ An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators ⋮ Poisson's integral formula via heat kernels ⋮ Highly localized summability kernels on the sphere induced by Newtonian kernels
This page was built for publication: Potential theory
