159 citations · 1.1k across the 67 of their papers we have counts for
7 papers · 2 filters
Applications of microlocal analysis to inverse problems
Mikko Salo
These are lecture notes for a minicourse on applications of microlocal analysis in inverse problems, given in Helsinki and Shanghai in June 2019.
Fixed angle inverse scattering for almost symmetric or controlled perturbations
Rakesh, Mikko Salo
We consider the fixed angle inverse scattering problem and show that a compactly supported potential is uniquely determined by its scattering amplitude for two opposite fixed angle…
Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1
We study various partial data inverse boundary value problems for the semilinear elliptic equation in a domain in by using the higher order linearizati…
Resolvent estimates for the magnetic Schrödinger operator in dimension
Cristóbal J. Meroño, Leyter Potenciano-Machado, Mikko Salo
It is well known that the resolvent of the free Schrödinger operator on weighted spaces has norm decaying like at energy . There are several works provi…
Inverse problems for elliptic equations with power type nonlinearities
Matti Lassas, Tony Liimatainen, Yi-Hsuan Lin +1
We introduce a method for solving Calderón type inverse problems for semilinear equations with power type nonlinearities. The method is based on higher order linearizations, and it…
Dimension bounds in monotonicity methods for the Helmholtz equation
Bastian Harrach, Valter Pohjola, Mikko Salo
The article [HPS] established a monotonicity inequality for the Helmholtz equation and presented applications to shape detection and local uniqueness in inverse boundary problems.…