Linear Holomorphic Partial Differential Equations and Classical Potential Theory
@article{Khavinson2018LinearHP, title={Linear Holomorphic Partial Differential Equations and Classical Potential Theory}, author={Dmitry Khavinson and Erik Lundberg}, journal={Mathematical Surveys and Monographs}, year={2018} }
34 Citations
Point source equilibrium problems with connections to weighted quadrature domains
- MathematicsIndagationes Mathematicae
- 2022
Inradius of random lemniscates
- Mathematics
- 2023
A BSTRACT . A classically studied geometric property associated to a complex polynomial p is the inradius (the radius of the largest inscribed disk) of its (filled) lemniscate Λ := { z ∈ C : | p ( z )…
On generalized Fermat Diophantine functional and partial differential equations in C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \be
- Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
- 2022
Fischer decompositions for entire functions and the Dirichlet problem for parabolas
- Materials ScienceAnalysis and Mathematical Physics
- 2022
Let P2k\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…
Bitensorial formulation of the singularity method for Stokes flows
- MathematicsMathematics in Engineering
- 2022
This paper develops the bitensorial formulation of the system of singularities associated with unbounded and bounded Stokes flows. The motivation for this extension is that Stokesian singularities…
Harold Seymour Shapiro 1928–2021; Life in mathematics, in memoriam
- ArtAnalysis and Mathematical Physics
- 2022
This is a (very) personal outlook on the life and mathematical achievements of Harold S. Shapiro, who has passed away in March of 2021, a few days short of his 93rd birthday. It is based on the…
Holomorphic solutions of soliton equations
- MathematicsTransactions of the Moscow Mathematical Society
- 2022
We present a holomorphic version of the inverse scattering method for soliton equations of parabolic type in two-dimensional space-time. It enables one to construct examples of solutions holomorphic…
Extension theorems for harmonic functions which vanish on a subset of a cylindrical surface
- MathematicsJournal of Mathematical Analysis and Applications
- 2022
Probabilistic bounds on best rank-one approximation ratio
- Mathematics, Computer Science
- 2022
We provide new upper and lower bounds on the minimum possible ratio of the spectral and Frobenius norms of a (partially) symmetric tensor. In the particular case of general tensors our result…
Harmonic extension through conical surfaces
- MathematicsMathematische Annalen
- 2022
This paper establishes extension results for harmonic functions which vanish on a conical surface. These are based on a detailed analysis of expansions for the Green function of an infinite cone.
References
A theorem of nehari revisited
- Mathematics
- 1988
A well-known theorem of Z. Nehari shows how one can locate the singular points of a function f(z) given by where p n(z) is the Legendre polynomial of degree n, by relating them to the singular points…