Murphy, Jason Recovery of a spatially-dependent coefficient from the NLS scattering map. (English) Zbl 1528.35166 Commun. Partial Differ. Equations 48, No. 7-8, 991-1007 (2023). MSC: 35Q55 35Q41 35R30 35P25 37K15 PDFBibTeX XMLCite \textit{J. Murphy}, Commun. Partial Differ. Equations 48, No. 7--8, 991--1007 (2023; Zbl 1528.35166) Full Text: DOI arXiv
de Hoop, Maarten V.; Lassas, Matti; Lu, Jinpeng; Oksanen, Lauri Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem. (English) Zbl 1512.35132 Commun. Partial Differ. Equations 48, No. 2, 286-314 (2023). MSC: 35B60 35L52 35Q74 35Q86 35R30 PDFBibTeX XMLCite \textit{M. V. de Hoop} et al., Commun. Partial Differ. Equations 48, No. 2, 286--314 (2023; Zbl 1512.35132) Full Text: DOI arXiv
Hintz, Peter; Uhlmann, Gunther; Zhai, Jian The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds. (English) Zbl 1505.35367 Commun. Partial Differ. Equations 47, No. 12, 2363-2400 (2022). MSC: 35R30 35L71 35R01 PDFBibTeX XMLCite \textit{P. Hintz} et al., Commun. Partial Differ. Equations 47, No. 12, 2363--2400 (2022; Zbl 1505.35367) Full Text: DOI arXiv
Li, Jianliang; Helin, Tapio; Li, Peijun Inverse random source problems for time-harmonic acoustic and elastic waves. (English) Zbl 1461.78007 Commun. Partial Differ. Equations 45, No. 10, 1335-1380 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 76Q05 74J20 74J25 60G60 35A01 35A02 35J05 35R30 65C30 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Partial Differ. Equations 45, No. 10, 1335--1380 (2020; Zbl 1461.78007) Full Text: DOI arXiv
Ghosh, Tuhin; Lin, Yi-Hsuan; Xiao, Jingni The Calderón problem for variable coefficients nonlocal elliptic operators. (English) Zbl 1387.35619 Commun. Partial Differ. Equations 42, No. 12, 1923-1961 (2017). MSC: 35R30 26A33 35J10 35J70 PDFBibTeX XMLCite \textit{T. Ghosh} et al., Commun. Partial Differ. Equations 42, No. 12, 1923--1961 (2017; Zbl 1387.35619) Full Text: DOI arXiv
Cekić, Mihajlo Calderón problem for connections. (English) Zbl 1382.35333 Commun. Partial Differ. Equations 42, No. 11, 1781-1836 (2017). MSC: 35R30 35R01 44A12 58J32 PDFBibTeX XMLCite \textit{M. Cekić}, Commun. Partial Differ. Equations 42, No. 11, 1781--1836 (2017; Zbl 1382.35333) Full Text: DOI arXiv Link
Hezari, Hamid Robin spectral rigidity of nearly circular domains with a reflectional symmetry. (English) Zbl 1386.35475 Commun. Partial Differ. Equations 42, No. 9, 1343-1358 (2017). MSC: 35R30 35P05 37D50 58J53 PDFBibTeX XMLCite \textit{H. Hezari}, Commun. Partial Differ. Equations 42, No. 9, 1343--1358 (2017; Zbl 1386.35475) Full Text: DOI arXiv
Lakshtanov, Evgeny; Vainberg, Boris Uniqueness in potential scattering with reduced data. (English) Zbl 1380.35073 Commun. Partial Differ. Equations 42, No. 6, 943-949 (2017). Reviewer: Lluís Miquel García Raffi (València) MSC: 35J10 35P25 35R30 PDFBibTeX XMLCite \textit{E. Lakshtanov} and \textit{B. Vainberg}, Commun. Partial Differ. Equations 42, No. 6, 943--949 (2017; Zbl 1380.35073) Full Text: DOI arXiv Link
Zhou, Hanming Generic injectivity and stability of inverse problems for connections. (English) Zbl 1380.53090 Commun. Partial Differ. Equations 42, No. 5, 780-801 (2017). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C65 35R30 35S05 44A12 PDFBibTeX XMLCite \textit{H. Zhou}, Commun. Partial Differ. Equations 42, No. 5, 780--801 (2017; Zbl 1380.53090) Full Text: DOI arXiv
Beretta, Elena; De Hoop, Maarten V.; Francini, Elisa; Vessella, Sergio Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation. (English) Zbl 1444.35162 Commun. Partial Differ. Equations 40, No. 7, 1365-1392 (2015). MSC: 35R30 35J08 35J25 PDFBibTeX XMLCite \textit{E. Beretta} et al., Commun. Partial Differ. Equations 40, No. 7, 1365--1392 (2015; Zbl 1444.35162) Full Text: DOI arXiv
Gaitan, P.; Isozaki, H.; Poisson, O.; Siltanen, S.; Tamminen, J. P. Inverse problems for time-dependent singular heat conductivities: multi-dimensional case. (English) Zbl 1327.35438 Commun. Partial Differ. Equations 40, No. 5, 837-877 (2015). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35R30 35K05 PDFBibTeX XMLCite \textit{P. Gaitan} et al., Commun. Partial Differ. Equations 40, No. 5, 837--877 (2015; Zbl 1327.35438) Full Text: DOI HAL
Waters, Alden Stable determination of X-ray transforms of time dependent potentials from partial boundary data. (English) Zbl 1304.35773 Commun. Partial Differ. Equations 39, No. 12, 2169-2197 (2014). MSC: 35R30 35R01 35L20 58J45 44A12 35A22 PDFBibTeX XMLCite \textit{A. Waters}, Commun. Partial Differ. Equations 39, No. 12, 2169--2197 (2014; Zbl 1304.35773) Full Text: DOI arXiv
Ammari, Habib; Garnier, Josselin; Nguyen, Loc Hoang; Seppecher, Laurent Reconstruction of a piecewise smooth absorption coefficient by an acousto-optic process. (English) Zbl 1383.35250 Commun. Partial Differ. Equations 38, No. 10, 1737-1762 (2013). MSC: 35R30 35B30 35J05 35J25 PDFBibTeX XMLCite \textit{H. Ammari} et al., Commun. Partial Differ. Equations 38, No. 10, 1737--1762 (2013; Zbl 1383.35250) Full Text: DOI arXiv
Oksanen, Lauri Inverse obstacle problem for the non-stationary wave equation with an unknown background. (English) Zbl 1274.35420 Commun. Partial Differ. Equations 38, No. 7-9, 1492-1518 (2013). MSC: 35R30 65M32 35L20 PDFBibTeX XMLCite \textit{L. Oksanen}, Commun. Partial Differ. Equations 38, No. 7--9, 1492--1518 (2013; Zbl 1274.35420) Full Text: DOI arXiv
Baudouin, Lucie; de Buhan, Maya; Ervedoza, Sylvain Global Carleman estimates for waves and applications. (English) Zbl 1267.93027 Commun. Partial Differ. Equations 38, No. 4-6, 823-859 (2013). MSC: 93B07 93C20 35R30 35L20 PDFBibTeX XMLCite \textit{L. Baudouin} et al., Commun. Partial Differ. Equations 38, No. 4--6, 823--859 (2013; Zbl 1267.93027) Full Text: DOI arXiv
Choulli, Mourad; Stefanov, Plamen Stability for the multi-dimensional Borg-Levinson theorem with partial spectral data. (English) Zbl 1302.35433 Commun. Partial Differ. Equations 38, No. 1-3, 455-476 (2013). MSC: 35R30 35J10 35B35 PDFBibTeX XMLCite \textit{M. Choulli} and \textit{P. Stefanov}, Commun. Partial Differ. Equations 38, No. 1--3, 455--476 (2013; Zbl 1302.35433) Full Text: DOI arXiv
Dos Santos Ferreira, David; Kenig, Carlos E.; Salo, Mikko Determining an unbounded potential from Cauchy data in admissible geometries. (English) Zbl 1302.35436 Commun. Partial Differ. Equations 38, No. 1-3, 50-68 (2013). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{D. Dos Santos Ferreira} et al., Commun. Partial Differ. Equations 38, No. 1--3, 50--68 (2013; Zbl 1302.35436) Full Text: DOI arXiv Link
Behrndt, Jussi; Rohleder, Jonathan An inverse problem of Calderón type with partial data. (English) Zbl 1244.35164 Commun. Partial Differ. Equations 37, No. 4-6, 1141-1159 (2012). MSC: 35R30 47F05 35P05 35J15 PDFBibTeX XMLCite \textit{J. Behrndt} and \textit{J. Rohleder}, Commun. Partial Differ. Equations 37, No. 4--6, 1141--1159 (2012; Zbl 1244.35164) Full Text: DOI arXiv
Beretta, Elena; Francini, Elisa Lipschitz stability for the electrical impedance tomography problem: the complex case. (English) Zbl 1232.35190 Commun. Partial Differ. Equations 36, No. 10-12, 1723-1749 (2011). MSC: 35R30 35J47 35Q60 92C55 PDFBibTeX XMLCite \textit{E. Beretta} and \textit{E. Francini}, Commun. Partial Differ. Equations 36, No. 10--12, 1723--1749 (2011; Zbl 1232.35190) Full Text: DOI arXiv
Bal, Guillaume; Jollivet, Alexandre; Langmore, Ian; Monard, François Angular average of time-harmonic transport solutions. (English) Zbl 1231.35139 Commun. Partial Differ. Equations 36, No. 4-6, 1044-1070 (2011). MSC: 35Q20 35R30 92C55 PDFBibTeX XMLCite \textit{G. Bal} et al., Commun. Partial Differ. Equations 36, No. 4--6, 1044--1070 (2011; Zbl 1231.35139) Full Text: DOI
Yan, Guozheng; Yao, Mao On the nonexistence of transmission eigenvalues for regions with cavities. (English) Zbl 1231.35136 Commun. Partial Differ. Equations 36, No. 7-9, 1510-1519 (2011). Reviewer: Alla Boikova (Penza) MSC: 35P25 35J05 35R30 PDFBibTeX XMLCite \textit{G. Yan} and \textit{M. Yao}, Commun. Partial Differ. Equations 36, No. 7--9, 1510--1519 (2011; Zbl 1231.35136) Full Text: DOI
Krupchyk, Katsiaryna; Lassas, Matti; Uhlmann, Gunther Inverse problems for differential forms on Riemannian manifolds with boundary. (English) Zbl 1227.35245 Commun. Partial Differ. Equations 36, No. 7-9, 1475-1509 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 35R30 58A10 58J10 58J32 PDFBibTeX XMLCite \textit{K. Krupchyk} et al., Commun. Partial Differ. Equations 36, No. 7--9, 1475--1509 (2011; Zbl 1227.35245) Full Text: DOI arXiv
Caro, Pedro; Ola, Petri; Salo, Mikko Inverse boundary value problem for Maxwell equations with local data. (English) Zbl 1185.35321 Commun. Partial Differ. Equations 34, No. 11, 1425-1464 (2009). Reviewer: Alfredo Lorenzi (Milano) MSC: 35R30 35Q60 PDFBibTeX XMLCite \textit{P. Caro} et al., Commun. Partial Differ. Equations 34, No. 11, 1425--1464 (2009; Zbl 1185.35321) Full Text: DOI arXiv
Heck, Horst Stability estimates for the inverse conductivity problem for less regular conductivities. (English) Zbl 1170.35558 Commun. Partial Differ. Equations 34, No. 2, 107-118 (2009). MSC: 35R30 35J25 35B35 78A25 PDFBibTeX XMLCite \textit{H. Heck}, Commun. Partial Differ. Equations 34, No. 2, 107--118 (2009; Zbl 1170.35558) Full Text: DOI
Nakamura, Gen; Potthast, Roland; Sini, Mourad Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test. (English) Zbl 1110.35107 Commun. Partial Differ. Equations 31, No. 10, 1505-1528 (2006). MSC: 35R30 35J25 78A46 PDFBibTeX XMLCite \textit{G. Nakamura} et al., Commun. Partial Differ. Equations 31, No. 10, 1505--1528 (2006; Zbl 1110.35107) Full Text: DOI
Knudsen, Kim The Calderón problem with partial data for less smooth conductivities. (English) Zbl 1091.35116 Commun. Partial Differ. Equations 31, No. 1-3, 57-71 (2006). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{K. Knudsen}, Commun. Partial Differ. Equations 31, No. 1--3, 57--71 (2006; Zbl 1091.35116) Full Text: DOI
Astala, Kari; Päivärinta, Lassi; Lassas, Matti Calderóns’ inverse problem for anisotropic conductivity in the plane. (English) Zbl 1129.35483 Commun. Partial Differ. Equations 30, No. 2, 207-224 (2005). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{K. Astala} et al., Commun. Partial Differ. Equations 30, No. 2, 207--224 (2005; Zbl 1129.35483) Full Text: DOI arXiv
Knudsen, Kim; Tamasan, Alexandru Reconstruction of less regular conductivities in the plane. (English) Zbl 1063.35149 Commun. Partial Differ. Equations 29, No. 3-4, 361-381 (2004). MSC: 35R30 35J25 35P25 78A46 78A30 PDFBibTeX XMLCite \textit{K. Knudsen} and \textit{A. Tamasan}, Commun. Partial Differ. Equations 29, No. 3--4, 361--381 (2004; Zbl 1063.35149) Full Text: DOI arXiv
Cheng, Jin; Ding, Guanghong; Yamamoto, Masahiro Uniqueness along a line for an inverse wave source problem. (English) Zbl 1034.35150 Commun. Partial Differ. Equations 27, No. 9-10, 2055-2069 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R30 35L05 35B60 PDFBibTeX XMLCite \textit{J. Cheng} et al., Commun. Partial Differ. Equations 27, No. 9--10, 2055--2069 (2002; Zbl 1034.35150) Full Text: DOI
Soner, H. Mete; Touzi, Nizar A stochastic representation for the level set equations. (English) Zbl 1036.49010 Commun. Partial Differ. Equations 27, No. 9-10, 2031-2053 (2002). MSC: 49J20 60J60 49L20 35K55 35R60 49L25 53C44 PDFBibTeX XMLCite \textit{H. M. Soner} and \textit{N. Touzi}, Commun. Partial Differ. Equations 27, No. 9--10, 2031--2053 (2002; Zbl 1036.49010) Full Text: DOI
Isakov, Victor Uniqueness of recovery of some quasilinear partial differential equations. (English) Zbl 0997.35018 Commun. Partial Differ. Equations 26, No. 11-12, 1947-1973 (2001). MSC: 35J60 35R30 35J25 35K15 35K20 PDFBibTeX XMLCite \textit{V. Isakov}, Commun. Partial Differ. Equations 26, No. 11--12, 1947--1973 (2001; Zbl 0997.35018) Full Text: DOI
Karp, Lavi; Shahgholian, Henrik Regularity of a free boundary at the infinity point. (English) Zbl 0965.35192 Commun. Partial Differ. Equations 25, No. 11-12, 2055-2086 (2000). Reviewer: Nikolai V.Krasnoschok (Donetsk) MSC: 35R35 35J85 31B20 PDFBibTeX XMLCite \textit{L. Karp} and \textit{H. Shahgholian}, Commun. Partial Differ. Equations 25, No. 11--12, 2055--2086 (2000; Zbl 0965.35192) Full Text: DOI
Nakamura, Gen; Tsuchida, Tetsuo Uniqueness for an inverse boundary value problem for Dirac operators. (English) Zbl 0952.35152 Commun. Partial Differ. Equations 25, No. 7-8, 1327-1369 (2000). Reviewer: A.G.Ramm (Manhattan) MSC: 35R30 35Q40 81U40 PDFBibTeX XMLCite \textit{G. Nakamura} and \textit{T. Tsuchida}, Commun. Partial Differ. Equations 25, No. 7--8, 1327--1369 (2000; Zbl 0952.35152)
Lassas, Matti Inverse boundary spectral problem for non-selfadjoint Maxwell’s equations with incomplete data. (English) Zbl 0906.35116 Commun. Partial Differ. Equations 23, No. 3-4, 629-648 (1998). Reviewer: Gabriel Dimitriu (Iaşi) MSC: 35R30 35Q60 PDFBibTeX XMLCite \textit{M. Lassas}, Commun. Partial Differ. Equations 23, No. 3--4, 629--648 (1998; Zbl 0906.35116) Full Text: DOI
Katchalov, A.; Kurylev, Ya. Multidimensional inverse problem with incomplete boundary spectral data. (English) Zbl 0904.65114 Commun. Partial Differ. Equations 23, No. 1-2, 55-95 (1998). Reviewer: Carlos A.De Moura (Niteroi) MSC: 65Z05 35R30 58J05 35J25 35P25 PDFBibTeX XMLCite \textit{A. Katchalov} and \textit{Ya. Kurylev}, Commun. Partial Differ. Equations 23, No. 1--2, 55--95 (1998; Zbl 0904.65114) Full Text: DOI
Pierre, Michel; Rouy, Elisabeth A tridimensional inverse shaping problem. (English) Zbl 0881.35125 Commun. Partial Differ. Equations 21, No. 7-8, 1279-1305 (1996). Reviewer: G.Dimitriu (Iaşi) MSC: 35R30 35Q60 49Q10 PDFBibTeX XMLCite \textit{M. Pierre} and \textit{E. Rouy}, Commun. Partial Differ. Equations 21, No. 7--8, 1279--1305 (1996; Zbl 0881.35125) Full Text: DOI Link
Garofalo, Nicola; Segala, Fausto Another step toward the solution of the Pompeiu problem in the plane. (English) Zbl 0818.35136 Commun. Partial Differ. Equations 18, No. 3-4, 491-503 (1993). Reviewer: G.Anger (Berlin) MSC: 35R30 31A25 35P05 42B10 PDFBibTeX XMLCite \textit{N. Garofalo} and \textit{F. Segala}, Commun. Partial Differ. Equations 18, No. 3--4, 491--503 (1993; Zbl 0818.35136) Full Text: DOI
Sun, Ziqi An inverse boundary value problem for the Schrödinger operator with vector potentials in two dimensions. (English) Zbl 0781.35073 Commun. Partial Differ. Equations 18, No. 1-2, 83-124 (1993). Reviewer: P.Stefanov (Sofia) MSC: 35R30 35P25 81U40 35Q40 PDFBibTeX XMLCite \textit{Z. Sun}, Commun. Partial Differ. Equations 18, No. 1--2, 83--124 (1993; Zbl 0781.35073) Full Text: DOI
Stefanov, Plamen Generic uniqueness for two inverse problems in potential scattering. (English) Zbl 0771.35082 Commun. Partial Differ. Equations 17, No. 1-2, 55-68 (1992). Reviewer: G.A.Perla Menzala (Rio de Janeiro) MSC: 35R30 35P25 81U05 PDFBibTeX XMLCite \textit{P. Stefanov}, Commun. Partial Differ. Equations 17, No. 1--2, 55--68 (1992; Zbl 0771.35082) Full Text: DOI
Isakov, Victor An inverse hyperbolic problem with many boundary measurements. (English) Zbl 0739.35105 Commun. Partial Differ. Equations 16, No. 6-7, 1183-1195 (1991). Reviewer: H.Ding (Beijing) MSC: 35R30 35L20 35A07 PDFBibTeX XMLCite \textit{V. Isakov}, Commun. Partial Differ. Equations 16, No. 6--7, 1183--1195 (1991; Zbl 0739.35105) Full Text: DOI
Sun, Ziqi On an inverse boundary value problem in two dimensions. (English) Zbl 0704.35132 Commun. Partial Differ. Equations 14, No. 8-9, 1101-1113 (1989). Reviewer: M.Cinquini-Cibrario MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{Z. Sun}, Commun. Partial Differ. Equations 14, No. 8--9, 1101--1113 (1989; Zbl 0704.35132) Full Text: DOI
Sun, Ziqi On the uniqueness of a multidimensional hyperbolic inverse problem. (English) Zbl 0681.35085 Commun. Partial Differ. Equations 13, No. 10, 1189-1208 (1988). MSC: 35R30 35L10 PDFBibTeX XMLCite \textit{Z. Sun}, Commun. Partial Differ. Equations 13, No. 10, 1189--1208 (1988; Zbl 0681.35085) Full Text: DOI
Pilant, Michael; Rundell, William Fixed point methods for a nonlinear parabolic inverse coefficient problem. (English) Zbl 0647.35083 Commun. Partial Differ. Equations 13, No. 4, 469-493 (1988). Reviewer: A.G.Ramm MSC: 35R30 35K55 35A35 PDFBibTeX XMLCite \textit{M. Pilant} and \textit{W. Rundell}, Commun. Partial Differ. Equations 13, No. 4, 469--493 (1988; Zbl 0647.35083) Full Text: DOI
Pilant, Michael S.; Rundell, William An inverse problem for a nonlinear parabolic equation. (English) Zbl 0594.35057 Commun. Partial Differ. Equations 11, 445-457 (1986). Reviewer: T.A.Dzhangveladze MSC: 35K55 35A07 65M99 65N99 35R30 PDFBibTeX XMLCite \textit{M. S. Pilant} and \textit{W. Rundell}, Commun. Partial Differ. Equations 11, 445--457 (1986; Zbl 0594.35057) Full Text: DOI
Melin, Anders Operator methods for inverse scattering on the real line. (English) Zbl 0585.35077 Commun. Partial Differ. Equations 10, 677-766 (1985). Reviewer: A.Ramm MSC: 35P25 35J10 34L99 PDFBibTeX XMLCite \textit{A. Melin}, Commun. Partial Differ. Equations 10, 677--766 (1985; Zbl 0585.35077) Full Text: DOI
Sacks, Paul; Symes, William Uniqueness and continuous dependence for a multidimensional hyperbolic inverse problem. (English) Zbl 0574.35078 Commun. Partial Differ. Equations 10, 635-676 (1985). Reviewer: T.Rassias MSC: 35R30 35L10 35B30 35A05 44A10 PDFBibTeX XMLCite \textit{P. Sacks} and \textit{W. Symes}, Commun. Partial Differ. Equations 10, 635--676 (1985; Zbl 0574.35078) Full Text: DOI
Sachs, Robert L. Classical solutions of the Korteweg-de Vries equation for non-smooth initial data via inverse scattering. (English) Zbl 0562.35085 Commun. Partial Differ. Equations 10, 29-98 (1985). Reviewer: Lung Yu Shih MSC: 35Q99 35G25 35A05 35B40 35P25 35R30 PDFBibTeX XMLCite \textit{R. L. Sachs}, Commun. Partial Differ. Equations 10, 29--98 (1985; Zbl 0562.35085) Full Text: DOI