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Journal articles on the topic 'Strichartz estimates'

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Published: 4 June 2021

Last updated: 7 February 2022

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1

Keel, Markus Aloysius, and Terence Tao. "Endpoint Strichartz estimates." American Journal of Mathematics 120, no. 5 (1998): 955–80. http://dx.doi.org/10.1353/ajm.1998.0039.

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2

FOSCHI, DAMIANO. "INHOMOGENEOUS STRICHARTZ ESTIMATES." Journal of Hyperbolic Differential Equations 02, no. 01 (March 2005): 1–24. http://dx.doi.org/10.1142/s0219891605000361.

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Abstract:

We look for the optimal range of Lebesque exponents for which inhomogeneous Strichartz estimates are valid. It is known that this range is larger than the one given by admissible exponents for homogeneous estimates. We prove inhomogeneous estimates in this larger range adopting the abstract setting and interpolation techniques already used by Keel and Tao for the endpoint case of the homogeneous estimates. Applications to Schrödinger equations are given, which extend previous work by Kato.

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3

Schippa, Robert. "Generalized inhomogeneous Strichartz estimates." Discrete & Continuous Dynamical Systems - A 37, no. 6 (2017): 3387–410. http://dx.doi.org/10.3934/dcds.2017143.

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4

Alazard, Thomas, Nicolas Burq, and Claude Zuily. "Strichartz estimates for water waves." Annales scientifiques de l'École normale supérieure 44, no. 5 (2011): 855–903. http://dx.doi.org/10.24033/asens.2156.

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5

Jiang, Jin-Cheng, Chengbo Wang, and Xin Yu. "Generalized and weighted Strichartz estimates." Communications on Pure and Applied Analysis 11, no. 5 (March 2012): 1723–52. http://dx.doi.org/10.3934/cpaa.2012.11.1723.

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6

Cho, Yonggeun, and Sanghyuk Lee. "Strichartz estimates in spherical coordinates." Indiana University Mathematics Journal 62, no. 3 (2013): 991–1020. http://dx.doi.org/10.1512/iumj.2013.62.4970.

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7

Schippa, Robert. "Sharp Strichartz estimates in spherical coordinates." Communications on Pure & Applied Analysis 16, no. 6 (2017): 2047–51. http://dx.doi.org/10.3934/cpaa.2017100.

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8

Chen, Gong. "Strichartz estimates for charge transfer models." Discrete & Continuous Dynamical Systems - A 37, no. 3 (2017): 1201–26. http://dx.doi.org/10.3934/dcds.2017050.

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9

Hong, Younghun, and Changhun Yang. "Uniform Strichartz estimates on the lattice." Discrete & Continuous Dynamical Systems - A 39, no. 6 (2019): 3239–64. http://dx.doi.org/10.3934/dcds.2019134.

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10

CORDERO, ELENA, and DAVIDE ZUCCO. "Strichartz Estimates for the Schrödinger Equation." Cubo (Temuco) 12, no. 3 (2010): 213–39. http://dx.doi.org/10.4067/s0719-06462010000300014.

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11

Bouclet, Jean-Marc. "Strichartz estimates on asymptotically hyperbolic manifolds." Analysis & PDE 4, no. 1 (March 27, 2011): 1–84. http://dx.doi.org/10.2140/apde.2011.4.1.

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12

Bouclet, Jean-Marc, and Nikolay Tzvetkov. "Strichartz estimates for long range perturbations." American Journal of Mathematics 129, no. 6 (2007): 1565–609. http://dx.doi.org/10.1353/ajm.2007.0039.

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13

Cauli, Alessandra, Fabio Nicola, and Anita Tabacco. "Strichartz estimates for the metaplectic representation." Revista Matemática Iberoamericana 35, no. 7 (June 27, 2019): 2079–92. http://dx.doi.org/10.4171/rmi/1112.

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14

Ahn, Cheonghee, and Yonggeun Cho. "Lorentz space extension of Strichartz estimates." Proceedings of the American Mathematical Society 133, no. 12 (July 13, 2005): 3497–503. http://dx.doi.org/10.1090/s0002-9939-05-07891-3.

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15

Ben Saïd, Salem. "Strichartz estimates for Schrödinger-Laguerre operators." Semigroup Forum 90, no. 1 (July 11, 2014): 251–69. http://dx.doi.org/10.1007/s00233-014-9617-9.

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16

Koh, Youngwoo, and Ihyeok Seo. "Inhomogeneous Strichartz estimates for Schrödinger's equation." Journal of Mathematical Analysis and Applications 442, no. 2 (October 2016): 715–25. http://dx.doi.org/10.1016/j.jmaa.2016.04.061.

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17

Vilela, M. C. "Inhomogeneous Strichartz estimates for the Schrödinger equation." Transactions of the American Mathematical Society 359, no. 5 (December 15, 2006): 2123–36. http://dx.doi.org/10.1090/s0002-9947-06-04099-2.

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18

Ovcharov, Evgeni Y. "Strichartz Estimates for the Kinetic Transport Equation." SIAM Journal on Mathematical Analysis 43, no. 3 (January 2011): 1282–310. http://dx.doi.org/10.1137/100803808.

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19

Tohaneanu, Mihai. "Strichartz estimates on Kerr black hole backgrounds." Transactions of the American Mathematical Society 364, no. 2 (February 1, 2012): 689–702. http://dx.doi.org/10.1090/s0002-9947-2011-05405-x.

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20

Nguyen, Huy Quang. "Sharp Strichartz estimates for water waves systems." Transactions of the American Mathematical Society 370, no. 12 (September 13, 2018): 8797–832. http://dx.doi.org/10.1090/tran/7419.

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21

Taira, Kouichi. "Strichartz estimates for non‐degenerate Schrödinger equations." Mathematische Nachrichten 293, no. 4 (April 2020): 774–93. http://dx.doi.org/10.1002/mana.201800148.

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22

Deng, Qingquan, Avy Soffer, and Xiaohua Yao. "Endpoint Strichartz estimates for charge transfer Hamiltonians." Indiana University Mathematics Journal 67, no. 6 (2018): 2487–522. http://dx.doi.org/10.1512/iumj.2018.67.7528.

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23

Baskin, Dean. "Strichartz Estimates on Asymptotically de Sitter Spaces." Annales Henri Poincaré 14, no. 2 (June 20, 2012): 221–52. http://dx.doi.org/10.1007/s00023-012-0187-7.

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24

Stefanov, Atanas. "Strichartz estimates for the magnetic Schrödinger equation." Advances in Mathematics 210, no. 1 (March 2007): 246–303. http://dx.doi.org/10.1016/j.aim.2006.06.006.

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25

Song, Naiqi, and Jiman Zhao. "Strichartz estimates on the quaternion Heisenberg group." Bulletin des Sciences Mathématiques 138, no. 2 (March 2014): 293–315. http://dx.doi.org/10.1016/j.bulsci.2013.06.008.

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26

Cordero, Elena, and Davide Zucco. "Strichartz estimates for the vibrating plate equation." Journal of Evolution Equations 11, no. 4 (June 2, 2011): 827–45. http://dx.doi.org/10.1007/s00028-011-0113-3.

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27

Marzuola, Jeremy, Jason Metcalfe, Daniel Tataru, and Mihai Tohaneanu. "Strichartz Estimates on Schwarzschild Black Hole Backgrounds." Communications in Mathematical Physics 293, no. 1 (November 4, 2009): 37–83. http://dx.doi.org/10.1007/s00220-009-0940-z.

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28

Zhai, Zhichun. "Strichartz type estimates for fractional heat equations." Journal of Mathematical Analysis and Applications 356, no. 2 (August 2009): 642–58. http://dx.doi.org/10.1016/j.jmaa.2009.03.051.

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29

Rogers, Keith M. "Strichartz estimates via the Schrödinger maximal operator." Mathematische Annalen 343, no. 3 (September 18, 2008): 603–22. http://dx.doi.org/10.1007/s00208-008-0283-7.

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30

Feng, Hongliang, Avy Soffer, and Xiaohua Yao. "Decay estimates and Strichartz estimates of fourth-order Schrödinger operator." Journal of Functional Analysis 274, no. 2 (January 2018): 605–58. http://dx.doi.org/10.1016/j.jfa.2017.10.014.

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31

Marzuola, Jeremy, Jason Metcalfe, and Daniel Tataru. "Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations." Journal of Functional Analysis 255, no. 6 (September 2008): 1497–553. http://dx.doi.org/10.1016/j.jfa.2008.05.022.

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32

Del Hierro, Martin. "Dispersive and Strichartz estimates on H-type groups." Studia Mathematica 169, no. 1 (2005): 1–20. http://dx.doi.org/10.4064/sm169-1-1.

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33

Robbiano, Luc, and Claude Zuily. "Strichartz estimates for Schrödinger equations with variable coefficients." Mémoires de la Société mathématique de France 1 (2005): 1–208. http://dx.doi.org/10.24033/msmf.414.

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34

Jao, Casey. "Refined mass-critical Strichartz estimates for Schrödinger operators." Analysis & PDE 13, no. 7 (November 10, 2020): 1955–94. http://dx.doi.org/10.2140/apde.2020.13.1955.

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35

Koh, Youngwoo. "Improved inhomogeneous Strichartz estimates for the Schrödinger equation." Journal of Mathematical Analysis and Applications 373, no. 1 (January 2011): 147–60. http://dx.doi.org/10.1016/j.jmaa.2010.06.019.

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36

Hassell, Andrew, Terence, Tao, and Jared Wunsch. "Sharp Strichartz estimates on nontrapping asymptotically conic manifolds." American Journal of Mathematics 128, no. 4 (2006): 963–1024. http://dx.doi.org/10.1353/ajm.2006.0033.

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37

Ferreira#, David Dos Santos. "Strichartz Estimates for Non-selfadjoint Operators and Applications." Communications in Partial Differential Equations 29, no. 1-2 (January 2005): 263–93. http://dx.doi.org/10.1081/pde-120028853.

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38

Mizutani, Haruya. "Strichartz Estimates for Schrödinger Equations on Scattering Manifolds." Communications in Partial Differential Equations 37, no. 2 (January 23, 2012): 169–224. http://dx.doi.org/10.1080/03605302.2011.593017.

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39

Zhang, Chunjie. "Strichartz estimates in the frame of modulation spaces." Nonlinear Analysis: Theory, Methods & Applications 78 (February 2013): 156–67. http://dx.doi.org/10.1016/j.na.2012.10.002.

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40

Killip, Rowan, and Monica Visan. "Scale-invariant Strichartz estimates on tori and applications." Mathematical Research Letters 23, no. 2 (2016): 445–72. http://dx.doi.org/10.4310/mrl.2016.v23.n2.a8.

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41

Lee, Sanghyuk, and Ihyeok Seo. "On inhomogeneous Strichartz estimates for the Schrödinger equation." Revista Matemática Iberoamericana 30, no. 2 (2014): 711–26. http://dx.doi.org/10.4171/rmi/797.

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42

Donninger, Roland, and Irfan Glogić. "Strichartz estimates for the one-dimensional wave equation." Transactions of the American Mathematical Society 373, no. 6 (March 3, 2020): 4051–83. http://dx.doi.org/10.1090/tran/8075.

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43

Guo, Zihua, Tadahiro Oh, and Yuzhao Wang. "Strichartz estimates for Schrödinger equations on irrational tori." Proceedings of the London Mathematical Society 109, no. 4 (June 30, 2014): 975–1013. http://dx.doi.org/10.1112/plms/pdu025.

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44

Lee, Jin Bong. "Strichartz estimates for space-time fractional Schrödinger equations." Journal of Mathematical Analysis and Applications 487, no. 2 (July 2020): 123999. http://dx.doi.org/10.1016/j.jmaa.2020.123999.

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45

Wang, Jian. "Strichartz estimates for convex co-compact hyperbolic surfaces." Proceedings of the American Mathematical Society 147, no. 2 (October 31, 2018): 873–83. http://dx.doi.org/10.1090/proc/14156.

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46

Quintero, Jos� R., and Alex M. Montes. "Strichartz Estimates for Some 2D Water Wave Models." Applied Mathematics & Information Sciences 7, no. 6 (November 1, 2013): 2159–73. http://dx.doi.org/10.12785/amis/070606.

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47

Barceló, J. A., L. Fanelli, A. Ruiz, M. C. Vilela, and N. Visciglia. "Resolvent and Strichartz estimates for elastic wave equations." Applied Mathematics Letters 49 (November 2015): 33–41. http://dx.doi.org/10.1016/j.aml.2015.04.013.

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48

Cordero, Elena, and Fabio Nicola. "Some new Strichartz estimates for the Schrödinger equation." Journal of Differential Equations 245, no. 7 (October 2008): 1945–74. http://dx.doi.org/10.1016/j.jde.2008.07.009.

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49

Salort, Delphine. "Dispersion and Strichartz estimates for the Liouville equation." Comptes Rendus Mathematique 342, no. 7 (April 2006): 489–92. http://dx.doi.org/10.1016/j.crma.2006.02.015.

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50

Salort, Delphine. "Dispersion and Strichartz estimates for the Liouville equation." Journal of Differential Equations 233, no. 2 (February 2007): 543–84. http://dx.doi.org/10.1016/j.jde.2006.09.011.

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