Ilmavirta, Joonas; de Hoop, Maarten V.; Katsnelson, Vitaly Spherically symmetric terrestrial planets with discontinuities are spectrally rigid. (English) Zbl 07801693 Commun. Math. Phys. 405, No. 2, Paper No. 31, 60 p. (2024). MSC: 53Cxx 58Jxx 35Pxx PDFBibTeX XMLCite \textit{J. Ilmavirta} et al., Commun. Math. Phys. 405, No. 2, Paper No. 31, 60 p. (2024; Zbl 07801693) Full Text: DOI arXiv
Lefeuvre, Thibault Isometric extensions of Anosov flows via microlocal analysis. (English) Zbl 1518.37044 Commun. Math. Phys. 399, No. 1, 453-479 (2023). Reviewer: Rafael Potrie Altieri (Montevideo) MSC: 37D25 37D20 37C40 37A25 PDFBibTeX XMLCite \textit{T. Lefeuvre}, Commun. Math. Phys. 399, No. 1, 453--479 (2023; Zbl 1518.37044) Full Text: DOI arXiv
Balehowsky, Tracey; Kujanpää, Antti; Lassas, Matti; Liimatainen, Tony An inverse problem for the relativistic Boltzmann equation. (English) Zbl 1510.35201 Commun. Math. Phys. 396, No. 3, 983-1049 (2022). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 35Q20 35Q83 35R30 53C50 82C40 35R01 PDFBibTeX XMLCite \textit{T. Balehowsky} et al., Commun. Math. Phys. 396, No. 3, 983--1049 (2022; Zbl 1510.35201) Full Text: DOI arXiv
Letrouit, Cyril Propagation of singularities for subelliptic wave equations. (English) Zbl 1502.58007 Commun. Math. Phys. 395, No. 1, 143-178 (2022). MSC: 58K99 35J75 35L81 35S99 53C17 PDFBibTeX XMLCite \textit{C. Letrouit}, Commun. Math. Phys. 395, No. 1, 143--178 (2022; Zbl 1502.58007) Full Text: DOI arXiv
Sá Barreto, Antônio; Stefanov, Plamen Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime. (English) Zbl 1487.35453 Commun. Math. Phys. 392, No. 1, 25-53 (2022). Reviewer: Giovanni S. Alberti (Genova) MSC: 35R30 35L15 35L71 PDFBibTeX XMLCite \textit{A. Sá Barreto} and \textit{P. Stefanov}, Commun. Math. Phys. 392, No. 1, 25--53 (2022; Zbl 1487.35453) Full Text: DOI arXiv
Chen, Xi The semiclassical resolvent on conic manifolds and application to Schrödinger equations. (English) Zbl 1487.58025 Commun. Math. Phys. 390, No. 2, 757-826 (2022). Reviewer: Luigi Rodino (Torino) MSC: 58J40 35S05 PDFBibTeX XMLCite \textit{X. Chen}, Commun. Math. Phys. 390, No. 2, 757--826 (2022; Zbl 1487.58025) Full Text: DOI arXiv
Chen, Xi; Lassas, Matti; Oksanen, Lauri; Paternain, Gabriel P. Inverse problem for the Yang-Mills equations. (English) Zbl 1468.78005 Commun. Math. Phys. 384, No. 2, 1187-1225 (2021). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 78A40 81T13 83A05 17B81 PDFBibTeX XMLCite \textit{X. Chen} et al., Commun. Math. Phys. 384, No. 2, 1187--1225 (2021; Zbl 1468.78005) Full Text: DOI arXiv
Vasy, András; Wang, Yiran On the light ray transform of wave equation solutions. (English) Zbl 1480.58011 Commun. Math. Phys. 384, No. 1, 503-532 (2021). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 58J45 58J37 35R30 35L05 53C50 81T20 83F05 PDFBibTeX XMLCite \textit{A. Vasy} and \textit{Y. Wang}, Commun. Math. Phys. 384, No. 1, 503--532 (2021; Zbl 1480.58011) Full Text: DOI arXiv
Li, Jingzhi; Liu, Hongyu; Ma, Shiqi Determining a random Schrödinger operator: both potential and source are random. (English) Zbl 1527.35499 Commun. Math. Phys. 381, No. 2, 527-556 (2021). MSC: 35R30 35J10 35P25 35R60 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Math. Phys. 381, No. 2, 527--556 (2021; Zbl 1527.35499) Full Text: DOI arXiv
Caro, Pedro; Garcia, Andoni Scattering with critically-singular and \(\delta \)-shell potentials. (English) Zbl 1450.35204 Commun. Math. Phys. 379, No. 2, 543-587 (2020). MSC: 35P25 35J15 PDFBibTeX XMLCite \textit{P. Caro} and \textit{A. Garcia}, Commun. Math. Phys. 379, No. 2, 543--587 (2020; Zbl 1450.35204) Full Text: DOI arXiv
Alazard, Thomas; Meunier, Nicolas; Smets, Didier Lyapunov functions, identities and the Cauchy problem for the Hele-Shaw equation. (English) Zbl 1442.35319 Commun. Math. Phys. 377, No. 2, 1421-1459 (2020). MSC: 35Q35 76D27 35B65 35R35 35A01 35A02 PDFBibTeX XMLCite \textit{T. Alazard} et al., Commun. Math. Phys. 377, No. 2, 1421--1459 (2020; Zbl 1442.35319) Full Text: DOI arXiv
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther The light ray transform on Lorentzian manifolds. (English) Zbl 1452.44006 Commun. Math. Phys. 377, No. 2, 1349-1379 (2020). MSC: 44A15 58J40 53C50 PDFBibTeX XMLCite \textit{M. Lassas} et al., Commun. Math. Phys. 377, No. 2, 1349--1379 (2020; Zbl 1452.44006) Full Text: DOI arXiv
Paternain, Gabriel P.; Uhlmann, Gunther; Zhou, Hanming Lens rigidity for a particle in a Yang-Mills field. (English) Zbl 1415.53011 Commun. Math. Phys. 366, No. 2, 681-707 (2019). Reviewer: Luigi Rodino (Torino) MSC: 53C07 81T13 PDFBibTeX XMLCite \textit{G. P. Paternain} et al., Commun. Math. Phys. 366, No. 2, 681--707 (2019; Zbl 1415.53011) Full Text: DOI arXiv
Krupchyk, Katya; Uhlmann, Gunther Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries. (English) Zbl 1396.58022 Commun. Math. Phys. 361, No. 2, 525-582 (2018). MSC: 58J32 PDFBibTeX XMLCite \textit{K. Krupchyk} and \textit{G. Uhlmann}, Commun. Math. Phys. 361, No. 2, 525--582 (2018; Zbl 1396.58022) Full Text: DOI arXiv
Lassas, Matti; Uhlmann, Gunther; Wang, Yiran Inverse problems for semilinear wave equations on Lorentzian manifolds. (English) Zbl 1409.58019 Commun. Math. Phys. 360, No. 2, 555-609 (2018). Reviewer: Zdeněk Dušek (Ceske Budejovice) MSC: 58J45 53C50 35L76 PDFBibTeX XMLCite \textit{M. Lassas} et al., Commun. Math. Phys. 360, No. 2, 555--609 (2018; Zbl 1409.58019) Full Text: DOI arXiv
Lassas, Matti; Oksanen, Lauri; Stefanov, Plamen; Uhlmann, Gunther On the inverse problem of finding cosmic strings and other topological defects. (English) Zbl 1391.83144 Commun. Math. Phys. 357, No. 2, 569-595 (2018). Reviewer: Vladimir Dzhunushaliev (Almaty) MSC: 83F05 83C75 85A25 83E30 83C10 PDFBibTeX XMLCite \textit{M. Lassas} et al., Commun. Math. Phys. 357, No. 2, 569--595 (2018; Zbl 1391.83144) Full Text: DOI arXiv
Pohjola, Valter; Tzou, Leo Inverse scattering for the magnetic Schrödinger operator on surfaces with Euclidean ends. (English) Zbl 1393.58020 Commun. Math. Phys. 356, No. 1, 107-142 (2017). Reviewer: Laurent Guillopé (Nantes) MSC: 58J50 35P25 35R30 81U40 58E05 PDFBibTeX XMLCite \textit{V. Pohjola} and \textit{L. Tzou}, Commun. Math. Phys. 356, No. 1, 107--142 (2017; Zbl 1393.58020) Full Text: DOI arXiv
Lai, Ru-Yu; Zhou, Ting Nonparaxial near-nondiffracting accelerating optical beams. (English) Zbl 1375.35529 Commun. Math. Phys. 353, No. 2, 771-790 (2017). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35Q61 78A05 PDFBibTeX XMLCite \textit{R.-Y. Lai} and \textit{T. Zhou}, Commun. Math. Phys. 353, No. 2, 771--790 (2017; Zbl 1375.35529) Full Text: DOI arXiv
Krupchyk, Katya; Uhlmann, Gunther The Calderón problem with partial data for conductivities with 3/2 derivatives. (English) Zbl 1362.35335 Commun. Math. Phys. 348, No. 1, 185-219 (2016). Reviewer: Jonathan Rohleder (Hamburg) MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{K. Krupchyk} and \textit{G. Uhlmann}, Commun. Math. Phys. 348, No. 1, 185--219 (2016; Zbl 1362.35335) Full Text: DOI arXiv
Guillarmou, Colin; Paternain, Gabriel P.; Salo, Mikko; Uhlmann, Gunther The X-ray transform for connections in negative curvature. (English) Zbl 1343.53078 Commun. Math. Phys. 343, No. 1, 83-127 (2016). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C65 53C21 PDFBibTeX XMLCite \textit{C. Guillarmou} et al., Commun. Math. Phys. 343, No. 1, 83--127 (2016; Zbl 1343.53078) Full Text: DOI arXiv Link
Haberman, Boaz Uniqueness in Calderón’s problem for conductivities with unbounded gradient. (English) Zbl 1456.35230 Commun. Math. Phys. 340, No. 2, 639-659 (2015). MSC: 35R30 35A02 35J25 PDFBibTeX XMLCite \textit{B. Haberman}, Commun. Math. Phys. 340, No. 2, 639--659 (2015; Zbl 1456.35230) Full Text: DOI arXiv
Monard, François; Stefanov, Plamen; Uhlmann, Gunther The geodesic ray transform on Riemannian surfaces with conjugate points. (English) Zbl 1319.53086 Commun. Math. Phys. 337, No. 3, 1491-1513 (2015). Reviewer: Deshna Loonker (Jodhpur) MSC: 53C65 44A12 58J10 PDFBibTeX XMLCite \textit{F. Monard} et al., Commun. Math. Phys. 337, No. 3, 1491--1513 (2015; Zbl 1319.53086) Full Text: DOI arXiv
Li, Jingzhi; Liu, Hongyu; Rondi, Luca; Uhlmann, Gunther Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak. (English) Zbl 1325.35209 Commun. Math. Phys. 335, No. 2, 671-712 (2015). Reviewer: Aleksander Pankov (Baltimore) MSC: 35Q60 78A45 35J05 35B65 35B44 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Math. Phys. 335, No. 2, 671--712 (2015; Zbl 1325.35209) Full Text: DOI arXiv
Helin, Tapio; Lassas, Matti; Oksanen, Lauri Inverse problem for the wave equation with a white noise source. (English) Zbl 1314.60128 Commun. Math. Phys. 332, No. 3, 933-953 (2014). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 60H15 35L05 PDFBibTeX XMLCite \textit{T. Helin} et al., Commun. Math. Phys. 332, No. 3, 933--953 (2014; Zbl 1314.60128) Full Text: DOI arXiv
Blåsten, Eemeli; Päivärinta, Lassi; Sylvester, John Corners always scatter. (English) Zbl 1298.35214 Commun. Math. Phys. 331, No. 2, 725-753 (2014). MSC: 35Q60 35J05 78A46 PDFBibTeX XMLCite \textit{E. Blåsten} et al., Commun. Math. Phys. 331, No. 2, 725--753 (2014; Zbl 1298.35214) Full Text: DOI arXiv
Krupchyk, Katsiaryna; Uhlmann, Gunther Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential. (English) Zbl 1295.35366 Commun. Math. Phys. 327, No. 3, 993-1009 (2014). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 78A05 35R30 PDFBibTeX XMLCite \textit{K. Krupchyk} and \textit{G. Uhlmann}, Commun. Math. Phys. 327, No. 3, 993--1009 (2014; Zbl 1295.35366) Full Text: DOI arXiv
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem. (English) Zbl 1303.35108 Commun. Math. Phys. 317, No. 1, 253-266 (2013). MSC: 35Q60 78A45 35P25 78A20 78A48 PDFBibTeX XMLCite \textit{H. Ammari} et al., Commun. Math. Phys. 317, No. 1, 253--266 (2013; Zbl 1303.35108) Full Text: DOI arXiv
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung Enhancement of near-cloaking. II: The Helmholtz equation. (English) Zbl 1260.35095 Commun. Math. Phys. 317, No. 2, 485-502 (2013). MSC: 35P25 35J05 35Q60 PDFBibTeX XMLCite \textit{H. Ammari} et al., Commun. Math. Phys. 317, No. 2, 485--502 (2013; Zbl 1260.35095) Full Text: DOI arXiv
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Inverse problems with partial data for a magnetic Schrödinger operator in an infinite slab and on a bounded domain. (English) Zbl 1238.35188 Commun. Math. Phys. 312, No. 1, 87-126 (2012). MSC: 35R30 35Q55 35A02 PDFBibTeX XMLCite \textit{K. Krupchyk} et al., Commun. Math. Phys. 312, No. 1, 87--126 (2012; Zbl 1238.35188) Full Text: DOI arXiv
Guillarmou, Colin; Salo, Mikko; Tzou, Leo Inverse scattering at fixed energy on surfaces with Euclidean ends. (English) Zbl 1215.58015 Commun. Math. Phys. 303, No. 3, 761-784 (2011). MSC: 58J50 35R30 35P25 58E05 PDFBibTeX XMLCite \textit{C. Guillarmou} et al., Commun. Math. Phys. 303, No. 3, 761--784 (2011; Zbl 1215.58015) Full Text: DOI arXiv
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Electromagnetic wormholes via handlebody constructions. (English) Zbl 1161.78003 Commun. Math. Phys. 281, No. 2, 369-385 (2008). MSC: 78A25 57R65 PDFBibTeX XMLCite \textit{A. Greenleaf} et al., Commun. Math. Phys. 281, No. 2, 369--385 (2008; Zbl 1161.78003) Full Text: DOI arXiv
Eskin, G. Optical Aharonov-Bohm effect: an inverse hyperbolic problems approach. (English) Zbl 1193.58014 Commun. Math. Phys. 284, No. 2, 317-343 (2008). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 58J45 81Q70 35Q40 35R30 PDFBibTeX XMLCite \textit{G. Eskin}, Commun. Math. Phys. 284, No. 2, 317--343 (2008; Zbl 1193.58014) Full Text: DOI arXiv
Isakov, Victor On uniqueness in the general inverse transmisson problem. (English) Zbl 1143.35387 Commun. Math. Phys. 280, No. 3, 843-858 (2008). MSC: 35R30 78A46 PDFBibTeX XMLCite \textit{V. Isakov}, Commun. Math. Phys. 280, No. 3, 843--858 (2008; Zbl 1143.35387) Full Text: DOI
Lassas, Matti; Päivärinta, Lassi; Saksman, Eero Inverse scattering problem for a two dimensional random potential. (English) Zbl 1203.35292 Commun. Math. Phys. 279, No. 3, 669-703 (2008). Reviewer: Elisa Alòs (Barcelona) MSC: 35R30 35R60 35J10 35P25 60H15 35A27 81U40 PDFBibTeX XMLCite \textit{M. Lassas} et al., Commun. Math. Phys. 279, No. 3, 669--703 (2008; Zbl 1203.35292) Full Text: DOI
Greenleaf, Allan; Kurylev, Yaroslav; Lassas, Matti; Uhlmann, Gunther Full-wave invisibility of active devices at all frequencies. (English) Zbl 1151.78006 Commun. Math. Phys. 275, No. 3, 749-789 (2007). MSC: 78A40 35Q60 PDFBibTeX XMLCite \textit{A. Greenleaf} et al., Commun. Math. Phys. 275, No. 3, 749--789 (2007; Zbl 1151.78006) Full Text: DOI arXiv
dos Santos Ferreira, David; Kenig, Carlos E.; Sjöstrand, Johannes; Uhlmann, Gunther Determining a magnetic Schrödinger operator from partial Cauchy data. (English) Zbl 1148.35096 Commun. Math. Phys. 271, No. 2, 467-488 (2007). Reviewer: Nils Ackermann (México) MSC: 35R30 35J10 78A46 78A05 92C55 PDFBibTeX XMLCite \textit{D. dos Santos Ferreira} et al., Commun. Math. Phys. 271, No. 2, 467--488 (2007; Zbl 1148.35096) Full Text: DOI arXiv
Nonnenmacher, Stéphane; Zworski, Maciej Distribution of resonances for open quantum maps. (English) Zbl 1114.81043 Commun. Math. Phys. 269, No. 2, 311-365 (2007). MSC: 81Q50 81Q20 28A80 81U99 PDFBibTeX XMLCite \textit{S. Nonnenmacher} and \textit{M. Zworski}, Commun. Math. Phys. 269, No. 2, 311--365 (2007; Zbl 1114.81043) Full Text: DOI arXiv
de Hoop, Maarten V.; Uhlmann, Gunther Characterization and ‘source-receiver’ continuation of seismic reflection data. (English) Zbl 1123.86003 Commun. Math. Phys. 263, No. 1, 1-19 (2006). MSC: 86A15 35P25 74J25 PDFBibTeX XMLCite \textit{M. V. de Hoop} and \textit{G. Uhlmann}, Commun. Math. Phys. 263, No. 1, 1--19 (2006; Zbl 1123.86003) Full Text: DOI
Grinevich, Piotr G.; Novikov, Roman G. Transparent potentials at fixed energy in dimension two. Fixed-energy dispersion relations for the fast decaying potentials. (English) Zbl 0843.35090 Commun. Math. Phys. 174, No. 2, 409-446 (1995). MSC: 35Q40 81U30 81U40 PDFBibTeX XMLCite \textit{P. G. Grinevich} and \textit{R. G. Novikov}, Commun. Math. Phys. 174, No. 2, 409--446 (1995; Zbl 0843.35090) Full Text: DOI arXiv
Eskin, G.; Ralston, J. Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy. (English) Zbl 0843.35133 Commun. Math. Phys. 173, No. 1, 199-224 (1995). Reviewer: Dang Dinh Ang (Ho Chi Minh City) MSC: 35R30 81U40 35P25 PDFBibTeX XMLCite \textit{G. Eskin} and \textit{J. Ralston}, Commun. Math. Phys. 173, No. 1, 199--224 (1995; Zbl 0843.35133) Full Text: DOI
Novikov, Roman G. The inverse scattering problem at fixed energy for the three-dimensional Schrödinger equation with an exponentially decreasing potential. (English) Zbl 0803.35166 Commun. Math. Phys. 161, No. 3, 569-595 (1994). MSC: 35R30 81U40 35Q40 35P25 PDFBibTeX XMLCite \textit{R. G. Novikov}, Commun. Math. Phys. 161, No. 3, 569--595 (1994; Zbl 0803.35166) Full Text: DOI
Greenleaf, Allan; Uhlmann, Gunther Recovering singularities of a potential from singularities of scattering data. (English) Zbl 0790.35112 Commun. Math. Phys. 157, No. 3, 549-572 (1993). Reviewer: V.Isakov (Wichita) MSC: 35R30 35P25 81U40 PDFBibTeX XMLCite \textit{A. Greenleaf} and \textit{G. Uhlmann}, Commun. Math. Phys. 157, No. 3, 549--572 (1993; Zbl 0790.35112) Full Text: DOI
Sun, Ziqi; Uhlmann, Gunther Recovery of singularities for formally determined inverse problems. (English) Zbl 0795.35142 Commun. Math. Phys. 153, No. 3, 431-445 (1993). Reviewer: R.G.Newton (Bloomington) MSC: 35R30 35P25 35Q40 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{G. Uhlmann}, Commun. Math. Phys. 153, No. 3, 431--445 (1993; Zbl 0795.35142) Full Text: DOI
Brummelhuis, R.; Uribe, A. A semi-classical trace formula for Schrödinger operators. (English) Zbl 0729.35093 Commun. Math. Phys. 136, No. 3, 567-584 (1991). Reviewer: D.M.Bors (Iaşi) MSC: 35P20 81Q20 35J10 PDFBibTeX XMLCite \textit{R. Brummelhuis} and \textit{A. Uribe}, Commun. Math. Phys. 136, No. 3, 567--584 (1991; Zbl 0729.35093) Full Text: DOI
Nachman, Adrian; Sylvester, John; Uhlmann, Gunther An \(n\)-dimensional Borg-Levinson theorem. (English) Zbl 0644.35095 Commun. Math. Phys. 115, No. 4, 595-605 (1988). Reviewer: J.Appell MSC: 35R30 35P25 35J05 PDFBibTeX XMLCite \textit{A. Nachman} et al., Commun. Math. Phys. 115, No. 4, 595--605 (1988; Zbl 0644.35095) Full Text: DOI
Callias, Constantine J. The heat equation with singular coefficients. I: Operators of the form \(- d^ 2/dx^ 2+k/x^ 2\) in dimension 1. (English) Zbl 0539.35033 Commun. Math. Phys. 88, 357-385 (1983). Reviewer: G.F.Roach MSC: 35K10 35B40 35A20 PDFBibTeX XMLCite \textit{C. J. Callias}, Commun. Math. Phys. 88, 357--385 (1983; Zbl 0539.35033) Full Text: DOI