8 citations · 9 across the 5 of their papers we have counts for
5 papers
Multiphase quadrature domains (existence and uniqueness)
Pu-Zhao Kow, Henrik Shahgholian, Tomas Sjödin
The primary goal of this paper is to give a precise definition and prove existence and uniqueness of multiphase quadrature domains for subharmonic functions, ensuring that the pres…
On scattering behavior of corner domains with anisotropic inhomogeneities: part II
Pu-Zhao Kow, Mikko Salo, Henrik Shahgholian
We study the scattering behavior of an anisotropic inhomogeneous Lipschitz medium at a fixed wave number, continuing our previous work [SIAM J. Math. Anal., 56(4):4834-4853, 2024]…
A free boundary approach to non-scattering obstacles with vanishing contrast
Mikko Salo, Henrik Shahgholian
Motivated by questions in inverse scattering theory, we develop free boundary methods in obstacle problems where both the solution and the right hand side of the equation may have…
Multi-phase -quadrature domains and applications to acoustic waves and magnetic fields
Pu-Zhao Kow, Henrik Shahgholian
The primary objective of this paper is to explore the multi-phase variant of quadrature domains associated with the Helmholtz equation, commonly referred to as -quadrature domai…
On scattering behavior of corner domains with anisotropic inhomogeneities
Pu-Zhao Kow, Mikko Salo, Henrik Shahgholian
This paper investigates the possible scattering and non-scattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident f…