Professor Martin Schechter Department of Mathematics University of California 540A Rowland Hall Irvine, CA 92697-3875 (949) 824-5501 (949) 824-7993 Fax mschecht@math.uci.edu

*****VITA*****

*****COMPLETE PUBLICATIONS LIST*****

*****RECENT PUBLICATIONS*****

• 242. Schechter, M., Chen, G. (2016) Non-periodic discrete Schrodinger equations: ground state solutions. Z. Angew. Math. Phys. 67(3), 67-72.

• 241. Schechter, M., Li, L. (2016) Existence solutions for second order Hamiltonian systems. Nonlinear Anal. Real World Appl. 27, 283-296.

• 240. Schechter, M. (2015) Nonlinear Schrodinger operators with zero in the spectrum. Z. Angew. Math. Phys. 66(5), 2125-2141.

• 239. Schechter, M. (2015) Periodic second order superlinear Hamiltonian systems. J. Math. Anal. Appl. 426(1), 546-562.

• 238. Schechter, M., Ramm, A. (2015) Existence of the solution to electromagnetic wave scattering problem for an impedance body of an arbitrary shape. Appl. Math. Lett. 41, 52-55.

• 237. Schechter, M. (2014) Ground state solutions for non-autonomous dynamical systems. J. Math. Phys. 55(10), 101504, 13pp.

• 236. Schechter, M., Pipan, J. (2014) Non-autonomous second order Hamiltonian systems. J. Differential Equations 257(2), 351-373.

• 235. Schechter, M., Zou, W. (2014) Semi-classical bound states of Schrödinger equations. Math. Proc. Cambridge Philos. Soc. 156(1), 167-181.

• 234. Schechter, M., Chen, L., Zou, W. (2013) Sign-changing critical points via sandwich pair theorems. Nonlinear Anal. 93, 109-121.

• 233. Schechter, M. (2013) Photonic lattices. J. Math. Phys. 54(6), 061502, 7 pp.

• 231. Schechter, M. (2013) Sandwich systems. J. Math. Anal. Appl. 399(1), 88-99.

• 230. Schechter, M., Perera, K. (2012) Morse theory applied to semilinear problems. Complex Var. Elliptic Equ. 57(11), 1179-1189.

• 229. Schechter, M. (2012) Monotonicity methods for noncooperative elliptic systems. Complex Var. Elliptic Equ. 57(11), 1163-1178.

• 228. Schechter, M. (2012) Steady state solutions for Schrodinger equations governing nonlinear optics. J. Math. Phys. 53(4), 043504, 8 pp.

• 227. Schechter, M. (2012) Ground state solutions of superlinear Schrodinger equations. Comm. Appl. Nonlinear Anal. 19(1), 91-97.

• 226. Schechter, M. (2012) Superlinear Schrodinger operators. J. Funct. Anal. 262(6), 2677-2694.

• 225. Schechter, M. (2011) Custom monotonicity methods. Math. Scand. 109(1), 133-146.

• 224. Schechter, M. (2011) The role of core functions in semilinear elliptic problems. Q. J. Math. 62(3), 717-735.

• 223. Schechter, M. (2011) Noncooperative elliptic systems. Z. Angew. Math. Phys. 62(4), 649-666.

• 222. Schechter, M. (2011) Nonautonomous second order Hamiltonian systems. Pacific J. Math. 251(2), 431-452.

• 221. Schechter, M.; Zou, W. (2010). On the Brezis-Nirenberg problem. Arch. Ration. Mech. Anal. 197(1), 337-356.

• 220. Schechter, M. (2010). Monotonicity methods for infinite dimensional sandwich systems. Discrete Contin. Dyn. Syst. 28(2), 455-468.

• 219. Schechter, M. (2010). The use of core functions in semilinear problems. Comm. Appl. Nonlinear Anal. 17(1), 93-102

• 218. Schechter, M. (2010). Variant sandwich pairs. Math. Nachr. 283(2), 272-288.

• 217. Schechter, M. (2009). Applications of sandwich pairs. Nonlinear Anal. 71(12), 234-242.

• 216. Schechter, M. (2009). Linking sandwich pairs. Math. Proc. Cambridge Philos. Soc. 147(3), 679-700.

• 215. Schechter, M. (2009). Wave equations that are radially symmetric. Commun. Appl. Anal. 13(3), 287-292.

• 214. Schechter, M., Perera, K. (2009). Sandwich pairs for p-Laplacian systems. J. Math. Anal. Appl. 358(2), 485-490.

• 212. Schechter, M. (2009). Custom sandwich pairs. J. Differential Equations 246(8), 3398-3415.

• 211. Schechter, M. (2009). Systems of sandwich pairs. J. Fixed Point Theory Appl. 5(1), 145-155.

• 210. Schechter, M., Perera, K. (2008). Flows and critical points. NoDEA Nonlinear Differential Equations Appl. 15(4-5), 495-509.

• 209. Schechter, M. (2008). Critical point methods. Nonlinear Anal. 69(3), 987-999.

• 208. Schechter, M. (2008). Strong sandwich pairs. Indiana Univ. Math. J. 57(3), 1105-1131.

• 207. Schechter, M. (2008). Minimax systems. J. Math Anal. Appl. 345, 431-454.

• 206. Schechter, M. (2008). Infinite-dimensional sandwich pairs. Pacific J. Math. 235(1), 73-88.

• 205. Schechter, M. (2008). Sandwich pairs in critical point theory. Trans. Amer. Math. Soc. 360(6), 2811-2823.

• 203. Schechter, M. (2007). The use of Cerami sequences in critical point theory. Abstr. Appl. Anal., 28 pp.

• 202. Schechter, M., Perera, K. (2007). Sandwich pairs in p-Laplacian problems. Topol. Methods Nonlinear Anal. 29(1), 29-34.

• 201. Schechter, M. (2007). Semilinear problems in unbounded domains. J. Math. Anal. Appl. 327(2), 1143-1154.

*****BOOKS*****

• 1. (with Bers, L. and John, F.) Partial Differential Equations, Interscience, New York, 1964. American Mathematical Society, 1979

• 2. Principles of Functional Analysis, Academic Press, New York, 1971. Second Edition, American Mathematical Society, 2002.

• 3. Spectra of Partial Differential Operators, North Holland, Amsterdam, 1971. Second Edition 1986.

• 4. Modern Methods in Partial Differential Equations, McGraw-Hill, New York, 1977.

• 5. Operator Methods in Quantum Mechanics, Elsevier North-Holland, New York, 1981; Dover Publications, 2002.

• 6. Linking Methods in Critical Point Theory, Birkhäuser, Boston, 1999.

• 7. An Introduction to Nonlinear Analysis, Cambridge Studies in Advanced Mathematics, 95. Cambridge University Press, Cambridge, 2004.

• 8. (with W. Zou) Critical Point Theory and its Applications, Springer, New York, 2006.

• 9. Minimax Systems and Critical Point Theory, Birkhäuser, Boston, 2009.

• 10. (with Perera, K.) Topics in Critical Point Theory. Cambridge Tracts in Mathematics, 198. Cambridge University Press, Cambridge, 2013.

*****RESEARCH PAPERS WHICH CITE ME IN THE TITLE*****

• MR3437747 Elleuch, Asrar; Jeribi, Aref On a characterization of the structured Wolf, Schechter and Browder essential pseudospectra. Indag. Math. (N.S.) 27 (2016), no. 1, 212-224 (47A55)

• MR3068817 Reviewed Precup, Radu On a bounded critical point theorem of Schechter. Stud. Univ. Babes-Bolyai Math. 58 (2013), no. 1, 87-95. (Reviewer: Tomas Dominguez Benavides) 47J40 (34B15 49J53 58E05)

• MR3000664 Reviewed Abdelmoumen, Boulbeba; Jeribi, Aref; Mnif, Maher Measure of weak noncompactness, some new properties in Fredholm theory, characterization of the Schechter essential spectrum and application to transport operators. Ric. Mat. 61 (2012), no. 2, 321-340. (Reviewer: Casey Timothy Cremins) 47H07 (46B20 47H08 82D75)

• MR2989420 Reviewed Moalla, Nedra A characterization of Schechter's essential spectrum by mean of measure of non-strict-singularity and application to matrix operator. Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 6, 2329-2340. (Reviewer: Michael M. Neumann) 47B40

• MR2908391 Reviewed Abdelmoumen, Boulbeba; Jeribi, Aref; Mnif, Maher Invariance of the Schechter essential spectrum under polynomially compact operators perturbation. Extracta Math. 26 (2011), no. 1, 61-73. 47A55 (47A10)

• MR2790878 Reviewed Abdmouleh, Faical; Jeribi, Aref Gustafson, Weidman, Kato, Wolf, Schechter, Browder, Rakocevic and Schmoeger essential spectra of the sum of two bounded operators and application to a transport operator. Math. Nachr. 284 (2011), no. 2-3, 166-176. 47A10 (47A53 47G20 47N50)

• MR2752669 Reviewed Jeribi, Aref; Walha, Ines Gustafson, Weidmann, Kato, Wolf, Schechter and Browder essential spectra of some matrix operator and application to two-group transport equation. Math. Nachr. 284 (2011), no. 1, 67-86. 47A10 (15A18 47N50)

• MR2730491 Ben Ali, Naouel; Jeribi, Aref; Moalla, Nedra On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator. Math. Nachr. 283 (2010), no. 9, 1245-1256, 47A10 (47A53 47G20 47N50)

• MR2601619 (2011c:58021) Zou, W.; Li, S. On Schechter's linking theorems. J. Funct. Anal. 258 (2010), no. 10, 3347-3361. (Reviewer: Kanishka S. Perera), 58E05 (35B38 35J20 35J60 47J30)

• MR2532520 (2010e:47068) Jeribi, Aref; Moalla, Nedra A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation. J. Math. Anal. Appl. 358 (2009), no. 2, 434-444. (Reviewer: Meri Lisi), 47B40 (35F05 35P05 47N20 82C70)

• MR2444859 Ricceri, Biagio On a theory by Schechter and Tintarev. Taiwanese J. Math. 12 (2008), no. 6, 1303-1312. 35J60 (35J20 35J25 35P30 47J30 49R50)

• MR2395536 Abdelmoumen, Boulbeba; Dehici, Abdelkader; Jeribi, Aref; Mnif, Maher Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory. J. Inequal. Appl. 2008, Art. ID 852676, 14 pp. 47A53 (47A10 47N20 47N55 82C70)

• MR2350080 (2008g:26017) Gala, Sadek The BMO^-1 space and its application to Schechter's inequality. Houston J. Math. 33 (2007), no. 4, 1059-1066 (electronic). 26D10 (35J10 46E35)

• MR2226676 (2007c:46021) Fan, Ming Lions-Schechter's methods of complex interpolation and some quantitative estimates. J. Approx. Theory 140 (2006), no. 1, 46-60. (Reviewer: Anton Martinez) 46B70 (46B20 46M35 47A10 47B07)

• MR1959869 (2004i:42001) Carro, Maria-J. A multiplier theorem using the Schechter's method of interpolation. J. Approx. Theory 120 (2003), no. 2, 283-295. 42A10 (42A45)

• MR2016753 (2006c:47005) Jeribi, Aref On the Schechter essential spectrum on Banach spaces and application. Facta Univ. Ser. Math. Inform. No. 17 (2002), 35-55. (Reviewer: Lawrence Williams) 47A10 (47A53 47B07)

• MR1941781 (2004d:82033) Jeribi, Aref Some remarks on the Schechter essential spectrum and applications to transport equations. J. Math. Anal. Appl. 275 (2002), no. 1, 222-237. (Reviewer: Ming Zhu Yang) 82C70 (47A10 47G20 47N55)

• MR1923639 (2003j:47003) Jeribi, Aref A characterization of the Schechter essential spectrum on Banach spaces and applications. J. Math. Anal. Appl. 271 (2002), no. 2, 343-358. (Reviewer: Ming Zhu Yang) 47A10 (35P05 47N55)

• MR1349035 (96k:46137) Carro, M. J.; Cerda J.; Milman, M.; Soria, J. Schechter methods of interpolation and commutators. Math. Nachr. 174 (1995), 35-53. (Reviewer: Mieczyslaw Mastylo) 46M35 (47B99)

• MR1433491 (98f:46028) Biroli, Marco An embedding property of Schechter's type for Dirichlet forms on an homogeneous space. Istit. Lombardo Accad. Sci. Lett. Rend. A 128 (1994), no. 2, 247-255 (1995). (Reviewer: W. P. Ziemer) 46E35 (31C25)

• MR1155178 (93b:46142) Carro, M. J.; Cerda Joan On the Lions-Schechter complex interpolation method. Function spaces (Poznan, 1989), 229-237, Teubner-Texte Math., 120, Teubner, Stuttgart, 1991. (Reviewer: Irina U. Asekritova) 46M35

• MR0842806 (87j:47025) Gonzalez, Manuel; Onieva, Victor M. On the meromorphic and Schechter-Shapiro operational calculi. J. Math. Anal. Appl. 116 (1986), no. 2, 363-377. (Reviewer: H. A. Gindler) 47A60

• MR0763546 Zeanek, Jaroslav On the Δ-characteristic of M. Schechter. Proceedings of the second international conference on operator algebras, ideals, and their applications in theoretical physics (Leipzig, 1983), 232-234, Teubner-Texte Math., 67, Teubner, Leipzig, 1984. 47A10 (47A53)

• MR0694833 (85g:47006) Miyajima, Shizuo Some converses of a theorem of M. Schechter on the conjugate of a product of operators. Sci. Papers College Gen. Ed. Univ. Tokyo 32 (1982), no. 2, 79-86. 47A05 (47A53)

• MR0681361 (84d:47014) Rakocevic, Vladimir On one subset of M. Schechter's essential spectrum. Mat. Vesnik 5(18)(33) (1981), no. 4, 389-391. (Reviewer: T. A. Gillespie) 47A53 (47A10)

• MR0433234 (55 #6212) Simon, B. Scattering theory and quadratic forms: on a theorem of Schechter. Comm. Math. Phys. 53 (1977), no. 2, 151-153. (Reviewer: Francesco Premuda) 47A40 (81.47)

• MR0333759 (48 #12083) Pham The Lai Sur un theorem de M. Schechter concernant la transposee produit de deux operateurs. (French) Studia Math. 49 (1973), 1-5. (Reviewer: S. Goldberg) 47A05