7 citations · 9 across the 10 of their papers we have counts for
10 papers
An inverse free boundary problem
Cătălin I. Cârstea, Matti Lassas, Jinpeng Lu +2
We study inverse problems for the elliptic and parabolic obstacle problems from boundary measurements. For the classical elliptic obstacle problem with strictly superharmonic obsta…
An inverse Signorini obstacle problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +2
We study the inverse problem of determining a Signorini obstacle from boundary measurements for the isotropic elasticity system. We prove that the obstacle can be uniquely determin…
Inverse Spectral Problems for Collapsing Manifolds II: Quantitative Stability of Reconstruction for Orbifolds
Matti Lassas, Jinpeng Lu, Takao Yamaguchi
We consider the inverse problem of determining the metric-measure structure of collapsing manifolds from local measurements of spectral data. In the part I of the paper, we proved…
Stable recovery of coefficients in an inverse fault friction problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +1
We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential…
Quantum computing algorithms for inverse problems on graphs and an NP-complete inverse problem
Joonas Ilmavirta, Matti Lassas, Jinpeng Lu +2
We consider an inverse problem for a finite graph where we are given a subset of vertices and the distances of all vertices …
Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
Maarten V. de Hoop, Matti Lassas, Jinpeng Lu +1
We obtain explicit estimates on the stability of the unique continuation for a linear system of hyperbolic equations. In particular our result applies to the elasticity system and…
Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel
Charles Fefferman, Sergei Ivanov, Matti Lassas +2
We consider how a closed Riemannian manifold and its metric tensor can be approximately reconstructed from local distance measurements. Moreover, we consider an inverse pro…
Inverse problems for discrete heat equations and random walks for a class of graphs
Emilia Blåsten, Hiroshi Isozaki, Matti Lassas +1
We study the inverse problem of determining a finite weighted graph from the source-to-solution map on a vertex subset for heat equations on graphs, where the…
Quantitative stability of Gel'fand's inverse boundary problem
Dmitri Burago, Sergei Ivanov, Matti Lassas +1
In Gel'fand's inverse problem, one aims to determine the topology, differential structure and Riemannian metric of a compact manifold with boundary from the knowledge of the bo…
Inverse Spectral Problems for Collapsing Manifolds I: Uniqueness and Stability
Yaroslav Kurylev, Matti Lassas, Jinpeng Lu +1
We consider the geometric inverse problem of determining a closed Riemannian manifold from measurements of the heat kernel in an open subset of the manifold. In this paper we analy…