-
Previous Article
Identifiability and reconstruction of shapes from integral invariants
- IPI Home
- This Issue
-
Next Article
An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions
Resonances and balls in obstacle scattering with Neumann boundary conditions
1. | Department of Mathematics, University of Missouri, Columbia, Missouri 65211, United States |
References:
[1] |
Mat. Sbornik, 2 (1937), 1205-1238. Google Scholar |
[2] |
Classics of Soviet Mathematics, 4. Gordon and Breach Publishers, Amsterdam, 1996. |
[3] |
Comm. Partial Differential Equations, 7 (1982), 905-958.
doi: 10.1080/03605308208820241. |
[4] |
Comm. Partial Differential Equations, 15 (1990), 245-272.
doi: 10.1080/03605309908820686. |
[5] |
Comm. Partial Differential Equations, 23 (1998), 933-948.
doi: 10.1080/03605309808821373. |
[6] |
Adv. in Math., 32 (1979), 204-232.
doi: 10.1016/0001-8708(79)90042-2. |
[7] |
J. Funct. Anal., 169 (1999), 604-609.
doi: 10.1006/jfan.1999.3487. |
[8] |
J. Funct. Anal., 45 (1982), 29-40.
doi: 10.1016/0022-1236(82)90003-9. |
[9] |
J. Funct. Anal., 53 (1983), 287-303.
doi: 10.1016/0022-1236(83)90036-8. |
[10] |
Journées Équations aux Dérivées partielles (1984), 1-8. Google Scholar |
[11] |
Cambridge University Press, Cambridge, 1995. |
[12] |
V. Petkov and L. Stoyanov, "Geometry of Reflecting Rays and Inverse Spectral Problems,'', Pure and Applied Mathematics (New York). John Wiley & Sons, ().
|
[13] |
Ann. Henri Poincaré, 2 (2001), 675-711.
doi: 10.1007/PL00001049. |
[14] |
Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. |
[15] |
in "Partial Differential Equations and Mathematical Physics (Copenhagen, 1995; Lund, 1995),'' 264-285, Progr. Nonlinear Differential Equations Appl., 21, Birkhuser Boston, Boston, MA, 1996. |
[16] |
J. Amer. Math. Soc., 4 (1991), 729-769. |
[17] |
J. Funct. Anal., 123 (1994), 336-367.
doi: 10.1006/jfan.1994.1092. |
[18] |
Applied Mathematical Sciences, 116. Springer-Verlag, New York, 1996. |
[19] |
Séminaire sur les Équations aux Dérivées Partielles, 1996-1997, Exp. No. XIII, 14pp., École Polytech., Palaiseau, 1997. |
[20] |
Asian J. Math., 2 (1998), 609-617. |
show all references
References:
[1] |
Mat. Sbornik, 2 (1937), 1205-1238. Google Scholar |
[2] |
Classics of Soviet Mathematics, 4. Gordon and Breach Publishers, Amsterdam, 1996. |
[3] |
Comm. Partial Differential Equations, 7 (1982), 905-958.
doi: 10.1080/03605308208820241. |
[4] |
Comm. Partial Differential Equations, 15 (1990), 245-272.
doi: 10.1080/03605309908820686. |
[5] |
Comm. Partial Differential Equations, 23 (1998), 933-948.
doi: 10.1080/03605309808821373. |
[6] |
Adv. in Math., 32 (1979), 204-232.
doi: 10.1016/0001-8708(79)90042-2. |
[7] |
J. Funct. Anal., 169 (1999), 604-609.
doi: 10.1006/jfan.1999.3487. |
[8] |
J. Funct. Anal., 45 (1982), 29-40.
doi: 10.1016/0022-1236(82)90003-9. |
[9] |
J. Funct. Anal., 53 (1983), 287-303.
doi: 10.1016/0022-1236(83)90036-8. |
[10] |
Journées Équations aux Dérivées partielles (1984), 1-8. Google Scholar |
[11] |
Cambridge University Press, Cambridge, 1995. |
[12] |
V. Petkov and L. Stoyanov, "Geometry of Reflecting Rays and Inverse Spectral Problems,'', Pure and Applied Mathematics (New York). John Wiley & Sons, ().
|
[13] |
Ann. Henri Poincaré, 2 (2001), 675-711.
doi: 10.1007/PL00001049. |
[14] |
Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. |
[15] |
in "Partial Differential Equations and Mathematical Physics (Copenhagen, 1995; Lund, 1995),'' 264-285, Progr. Nonlinear Differential Equations Appl., 21, Birkhuser Boston, Boston, MA, 1996. |
[16] |
J. Amer. Math. Soc., 4 (1991), 729-769. |
[17] |
J. Funct. Anal., 123 (1994), 336-367.
doi: 10.1006/jfan.1994.1092. |
[18] |
Applied Mathematical Sciences, 116. Springer-Verlag, New York, 1996. |
[19] |
Séminaire sur les Équations aux Dérivées Partielles, 1996-1997, Exp. No. XIII, 14pp., École Polytech., Palaiseau, 1997. |
[20] |
Asian J. Math., 2 (1998), 609-617. |
[1] |
Deren Han, Zehui Jia, Yongzhong Song, David Z. W. Wang. An efficient projection method for nonlinear inverse problems with sparsity constraints. Inverse Problems & Imaging, 2016, 10 (3) : 689-709. doi: 10.3934/ipi.2016017 |
[2] |
Kha Van Huynh, Barbara Kaltenbacher. Some application examples of minimization based formulations of inverse problems and their regularization. Inverse Problems & Imaging, 2021, 15 (3) : 415-443. doi: 10.3934/ipi.2020074 |
[3] |
Alexandr Mikhaylov, Victor Mikhaylov. Dynamic inverse problem for Jacobi matrices. Inverse Problems & Imaging, 2019, 13 (3) : 431-447. doi: 10.3934/ipi.2019021 |
[4] |
Armin Lechleiter, Tobias Rienmüller. Factorization method for the inverse Stokes problem. Inverse Problems & Imaging, 2013, 7 (4) : 1271-1293. doi: 10.3934/ipi.2013.7.1271 |
[5] |
Sergei Avdonin, Julian Edward. An inverse problem for quantum trees with observations at interior vertices. Networks & Heterogeneous Media, 2021, 16 (2) : 317-339. doi: 10.3934/nhm.2021008 |
[6] |
Jianli Xiang, Guozheng Yan. The uniqueness of the inverse elastic wave scattering problem based on the mixed reciprocity relation. Inverse Problems & Imaging, 2021, 15 (3) : 539-554. doi: 10.3934/ipi.2021004 |
[7] |
Markus Harju, Jaakko Kultima, Valery Serov, Teemu Tyni. Two-dimensional inverse scattering for quasi-linear biharmonic operator. Inverse Problems & Imaging, , () : -. doi: 10.3934/ipi.2021026 |
[8] |
Caichun Chai, Tiaojun Xiao, Zhangwei Feng. Evolution of revenue preference for competing firms with nonlinear inverse demand. Journal of Industrial & Management Optimization, 2021 doi: 10.3934/jimo.2021071 |
[9] |
Wenbin Li, Jianliang Qian. Simultaneously recovering both domain and varying density in inverse gravimetry by efficient level-set methods. Inverse Problems & Imaging, 2021, 15 (3) : 387-413. doi: 10.3934/ipi.2020073 |
[10] |
Michiyuki Watanabe. Inverse $N$-body scattering with the time-dependent hartree-fock approximation. Inverse Problems & Imaging, 2021, 15 (3) : 499-517. doi: 10.3934/ipi.2021002 |
[11] |
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira, Julio D. Rossi. Homogenization for nonlocal problems with smooth kernels. Discrete & Continuous Dynamical Systems, 2021, 41 (6) : 2777-2808. doi: 10.3934/dcds.2020385 |
[12] |
Ian Schindler, Kyril Tintarev. Mountain pass solutions to semilinear problems with critical nonlinearity. Conference Publications, 2007, 2007 (Special) : 912-919. doi: 10.3934/proc.2007.2007.912 |
[13] |
Valeria Chiado Piat, Sergey S. Nazarov, Andrey Piatnitski. Steklov problems in perforated domains with a coefficient of indefinite sign. Networks & Heterogeneous Media, 2012, 7 (1) : 151-178. doi: 10.3934/nhm.2012.7.151 |
[14] |
Vieri Benci, Sunra Mosconi, Marco Squassina. Preface: Applications of mathematical analysis to problems in theoretical physics. Discrete & Continuous Dynamical Systems - S, 2021, 14 (5) : i-i. doi: 10.3934/dcdss.2020446 |
[15] |
Craig Cowan. Supercritical elliptic problems involving a Cordes like operator. Discrete & Continuous Dynamical Systems, 2021 doi: 10.3934/dcds.2021037 |
[16] |
Qing-Qing Yang, Wai-Ki Ching, Wan-Hua He, Na Song. Effect of institutional deleveraging on option valuation problems. Journal of Industrial & Management Optimization, 2021, 17 (4) : 2097-2118. doi: 10.3934/jimo.2020060 |
[17] |
John Villavert. On problems with weighted elliptic operator and general growth nonlinearities. Communications on Pure & Applied Analysis, , () : -. doi: 10.3934/cpaa.2021023 |
[18] |
M. Mahalingam, Parag Ravindran, U. Saravanan, K. R. Rajagopal. Two boundary value problems involving an inhomogeneous viscoelastic solid. Discrete & Continuous Dynamical Systems - S, 2017, 10 (6) : 1351-1373. doi: 10.3934/dcdss.2017072 |
[19] |
Xue-Ping Luo, Yi-Bin Xiao, Wei Li. Strict feasibility of variational inclusion problems in reflexive Banach spaces. Journal of Industrial & Management Optimization, 2020, 16 (5) : 2495-2502. doi: 10.3934/jimo.2019065 |
[20] |
Samir Adly, Oanh Chau, Mohamed Rochdi. Solvability of a class of thermal dynamical contact problems with subdifferential conditions. Numerical Algebra, Control & Optimization, 2012, 2 (1) : 91-104. doi: 10.3934/naco.2012.2.91 |
2019 Impact Factor: 1.373
Tools
Metrics
Other articles
by authors
[Back to Top]