Dispersion estimates for one-dimensional discrete Dirac equations
We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators.
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| Published in: | Journal of mathematical analysis and applications Vol. 434; no. 1; pp. 191 - 208 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Inc
01-02-2016
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| Abstract | We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators. |
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| AbstractList | We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators. |
| Author | Teschl, Gerald Kopylova, Elena |
| Author_xml | – sequence: 1 givenname: Elena surname: Kopylova fullname: Kopylova, Elena email: Elena.Kopylova@univie.ac.at organization: Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria – sequence: 2 givenname: Gerald orcidid: 0000-0002-1036-9173 surname: Teschl fullname: Teschl, Gerald email: Gerald.Teschl@univie.ac.at organization: Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria |
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| CitedBy_id | crossref_primary_10_1016_j_jfa_2019_108289 crossref_primary_10_1002_mana_202000033 crossref_primary_10_1007_s00028_020_00605_x crossref_primary_10_1007_s00023_020_00916_2 crossref_primary_10_1088_1751_8121_aa97ac crossref_primary_10_1515_jiip_2017_0018 crossref_primary_10_1007_s11005_016_0831_0 crossref_primary_10_1070_RM9900 crossref_primary_10_4213_rm9900 |
| Cites_doi | 10.4310/DPDE.2011.v8.n2.a3 10.1137/080732821 10.1080/00036810601074321 10.1063/1.3005597 10.1142/S0129055X01000843 10.1016/0022-1236(82)90084-2 10.1006/jfan.1999.3507 10.1070/RM2010v065n01ABEH004662 10.1080/03605300903419783 10.4171/JST/110 10.1007/s00220-004-1140-5 10.1186/1029-242X-2014-73 10.1155/2010/306571 |
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| Copyright | 2015 Elsevier Inc. |
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| Keywords | Discrete Dirac equation Dispersive decay Limiting absorption principle Cauchy problem |
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| References | Teschl (br0150) 2000; vol. 72 Bairamov, Aygar, Olgun (br0020) 2010; 2010 Jensen, Nenciu (br0070) 2001; 13 Komech, Kopylova (br0080) 2010; 35 Egorova, Kopylova, Teschl (br0030) 2015 Murata (br0120) 1982; 49 Kopylova (br0100) 2011; 8 Cuccagna, Tarulli (br0050) 2009; 41 Komech, Kopylova, Kunze (br0090) 2006; 85 Aygar, Olgun (br0010) 2014 Egorova, Kopylova, Marchenko, Teschl (br0040) Goldberg, Schlag (br0060) 2004; 251 Pelinovsky, Stefanov (br0130) 2008; 49 Stein (br0140) 1993; vol. 43 Kopylova (br0110) 2010; 65 Weder (br0160) 2000; 170 Stein (10.1016/j.jmaa.2015.08.075_br0140) 1993; vol. 43 Cuccagna (10.1016/j.jmaa.2015.08.075_br0050) 2009; 41 Weder (10.1016/j.jmaa.2015.08.075_br0160) 2000; 170 Egorova (10.1016/j.jmaa.2015.08.075_br0040) Murata (10.1016/j.jmaa.2015.08.075_br0120) 1982; 49 Pelinovsky (10.1016/j.jmaa.2015.08.075_br0130) 2008; 49 Komech (10.1016/j.jmaa.2015.08.075_br0090) 2006; 85 Kopylova (10.1016/j.jmaa.2015.08.075_br0110) 2010; 65 Jensen (10.1016/j.jmaa.2015.08.075_br0070) 2001; 13 Teschl (10.1016/j.jmaa.2015.08.075_br0150) 2000; vol. 72 Egorova (10.1016/j.jmaa.2015.08.075_br0030) 2015 Bairamov (10.1016/j.jmaa.2015.08.075_br0020) 2010; 2010 Komech (10.1016/j.jmaa.2015.08.075_br0080) 2010; 35 Goldberg (10.1016/j.jmaa.2015.08.075_br0060) 2004; 251 Aygar (10.1016/j.jmaa.2015.08.075_br0010) 2014 Kopylova (10.1016/j.jmaa.2015.08.075_br0100) 2011; 8 |
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| Snippet | We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and... |
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| SubjectTerms | Cauchy problem Discrete Dirac equation Dispersive decay Limiting absorption principle |
| Title | Dispersion estimates for one-dimensional discrete Dirac equations |
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