Zobrazeno 1 - 10
of 200
pro vyhledávání: '"Matti Lassas"'
Publikováno v:
Forum of Mathematics, Pi, Vol 9 (2021)
The article studies inverse problems of determining unknown coefficients in various semi-linear and quasi-linear wave equations given the knowledge of an associated source-to-solution map. We introduce a method to solve inverse problems for nonlinear
Externí odkaz:
https://doaj.org/article/3260360dbeeb46b29fbddaaf127577e3
Bayesian solution of an inverse problem for indirect measurement $M = AU + {\mathcal{E}}$ is considered, where $U$ is a function on a domain of $R^d$. Here $A$ is a smoothing linear operator and $ {\mathcal{E}}$ is Gaussian white noise. The data is a
Externí odkaz:
http://arxiv.org/abs/0901.4220
We propose a volatile static all-optical memory capable of storing phase information of a slowly-varying electric field. The scheme and its realization (a memory circuit) are based on two mutually coupled lasers subject to external optical injection.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5899d8dc80309c9aeebd2b805288b3aa
http://hdl.handle.net/10138/356507
http://hdl.handle.net/10138/356507
We consider the recovery of a potential associated with a semi-linear wave equation on Rn+1, n > 1. We show that an unknown potential a(x, t) of the wave equation ???u + aum = 0 can be recovered in a H & ouml;lder stable way from the map u|onnx[0,T]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b6dccd148dffb3c00ce0469d9bdf13a
http://hdl.handle.net/10138/350037
http://hdl.handle.net/10138/350037
Publikováno v:
SIAM Journal on Mathematical Analysis. 54:3420-3456
Publikováno v:
Analysis & PDE. 15:273-326
Publikováno v:
Journal of Topology and Analysis.
Let ${\mathcal M}\subset {\mathbb R}^n$ be a $C^2$-smooth compact submanifold of dimension $d$. Assume that the volume of ${\mathcal M}$ is at most $V$ and the reach (i.e. the normal injectivity radius) of ${\mathcal M}$ is greater than $\tau$. Moreo
In this paper we consider determining a minimal surface embedded in a Riemannian manifold $\Sigma\times \mathbb{R}$. We show that if $\Sigma$ is a two dimensional Riemannian manifold with boundary, then the knowledge of the associated Dirichlet-to-Ne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1238d9b03efe70cc9d9ff74ee5bb6b5
https://doi.org/10.2139/ssrn.4354195
https://doi.org/10.2139/ssrn.4354195
Publikováno v:
Pure and Applied Analysis. 3:789-811
The broken scattering relation consists of the total lengths of broken geodesics that start from the boundary, change direction once inside the manifold, and propagate to the boundary. We show that if two reversible Finsler manifolds satisfying a con
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 also the Maxwell system. As an application, we study the kinematic inv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7078430b2972a1d4edd595429359d026
http://arxiv.org/abs/2203.13690
http://arxiv.org/abs/2203.13690