Potential theory

zbMath0297.31001MaRDI QIDQ5905693

John Wermer

Publication date: 1974

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Research exposition (monographs, survey articles) pertaining to potential theory (31-02)

Related Items (31)

Optimal sampling designs for nonparametric estimation of spatial averages of random fields ⋮ An Example Concerning Parts and Newtonian Capacity ⋮ The free energy of systems with net charge ⋮ A form of classical Picard principle ⋮ Polynomial collocation over massive sets for Toeplitz integral equations on the Bergman space ⋮ An Inverse Problem for Biharmonic Potentials ⋮ Problems on the loss of heat: herd instinct versus individual feelings ⋮ Jensen measures and a theorem of Rado ⋮ On the Besov regularity of conformal maps and layer potentials on nonsmooth domains. ⋮ Behavior at infinity of solutions of an equation of Osserman--Keller type. ⋮ On an Electrostatic Problem and a New Class of Exceptional Subdomains of \(\mathbb{R}^3\) ⋮ Potential theory in the class of \(m\)-subharmonic functions ⋮ Potato Kugel ⋮ Weak barriers in nonlinear potential theory ⋮ Approximation of the equilibrium distribution by distributions of equal point charges with minimal energy ⋮ Some remarks on the existence of a resolvent ⋮ The biharmonic Neumann problem in Lipschitz domains ⋮ Electrostatic characterization of spheres ⋮ Harmonic Polynomials and Dirichlet-Type Problems ⋮ Reflection principles for harmonic and polyharmonic functions ⋮ Unique reconstruction of simple magnetizations from their magnetic potential ⋮ Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating ⋮ Pressure, capacity, and the Navier-Stokes equations ⋮ Optimal Depth-Dependent Distinguishability Bounds for Electrical Impedance Tomography in Arbitrary Dimension ⋮ Condition numbers of large matrices, and analytic capacities ⋮ Gauss as Scientific Mediator Between Mathematics and Geodesy from the Past to the Present ⋮ Spherical Potential Theory: Tools and Applications ⋮ Decomposition of $L^{2}$-Vector Fields on Lipschitz Surfaces: Characterization via Null-Spaces of the Scalar Potential ⋮ Equilibrium measure and Brownian escape process ⋮ On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type ⋮ Can one see the fundamental frequency of a drum?

This page was built for publication: Potential theory