Relevant bibliographies by topics / Strichartz inequalities

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Strichartz inequalities'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Strichartz inequalities"

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Bennett, Jonathan, Neal Bez, and Marina Iliopoulou. "Flow Monotonicity and Strichartz Inequalities." International Mathematics Research Notices 2015, no. 19 (2014): 9415–37. http://dx.doi.org/10.1093/imrn/rnu230.

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Adekoya, Oreoluwa, and John P. Albert. "Maximisers for Strichartz inequalities on the torus." Nonlinearity 35, no. 1 (2021): 311–42. http://dx.doi.org/10.1088/1361-6544/ac37f4.

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Abstract We study the existence of maximisers for a one-parameter family of Strichartz inequalities on the torus. In general, maximising sequences can fail to be precompact in L 2 ( T ) , and maximisers can fail to exist. We provide a sufficient condition for precompactness of maximising sequences (after translation in Fourier space), and verify the existence of maximisers for a range of values of the parameter. Maximisers for the Strichartz inequalities correspond to stable, periodic (in space and time) solutions of a model equation for optical pulses in a dispersion-managed fiber.
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Bouclet, Jean-Marc. "Strichartz Inequalities on Surfaces with Cusps." International Mathematics Research Notices 2015, no. 24 (2015): 13437–92. http://dx.doi.org/10.1093/imrn/rnv105.

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Fanelli, Luca, Luis Vega, and Nicola Visciglia. "Existence of maximizers for Sobolev–Strichartz inequalities." Advances in Mathematics 229, no. 3 (2012): 1912–23. http://dx.doi.org/10.1016/j.aim.2011.12.012.

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Ginibre, J., and G. Velo. "Generalized Strichartz Inequalities for the Wave Equation." Journal of Functional Analysis 133, no. 1 (1995): 50–68. http://dx.doi.org/10.1006/jfan.1995.1119.

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6

Han, Wei. "The sharp Strichartz and Sobolev-Strichartz inequalities for the fourth-order Schrödinger equation." Mathematical Methods in the Applied Sciences 38, no. 8 (2014): 1506–14. http://dx.doi.org/10.1002/mma.3164.

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Barceló, J. A., J. M. Bennett, A. Carbery, A. Ruiz, and M. C. Vilela. "Strichartz inequalities with weights in Morrey-Campanato classes." Collectanea mathematica 61, no. 1 (2010): 49–56. http://dx.doi.org/10.1007/bf03191225.

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Fanelli, Luca, and Luis Vega. "Magnetic virial identities, weak dispersion and Strichartz inequalities." Mathematische Annalen 344, no. 2 (2008): 249–78. http://dx.doi.org/10.1007/s00208-008-0303-7.

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9

Mejjaoli, Hatem. "Generalized Lorentz Spaces and Applications." Journal of Function Spaces and Applications 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/302941.

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We define and study the Lorentz spaces associated with the Dunkl operators onℝd. Furthermore, we obtain the Strichartz estimates for the Dunkl-Schrödinger equations under the generalized Lorentz norms. The Sobolev inequalities between the homogeneous Dunkl-Besov spaces and generalized Lorentz spaces are also considered.
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10

Fanelli, Luca, and Nicola Visciglia. "The lack of compactness in the Sobolev–Strichartz inequalities." Journal de Mathématiques Pures et Appliquées 99, no. 3 (2013): 309–20. http://dx.doi.org/10.1016/j.matpur.2012.06.015.

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Dissertations / Theses on the topic "Strichartz inequalities"

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Jeavons, Christopher Paul. "Optimal constants and maximising functions for Strichartz inequalities." Thesis, University of Birmingham, 2015. http://etheses.bham.ac.uk//id/eprint/6160/.

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We prove sharp weighted bilinear inequalities which are global in time and for general dimensions for the free wave, Schrödinger and Klein-Gordon propagators. This extends work of Ozawa –Rogers for the Klein-Gordon propagator, work of Foschi-Klainerman and Bez-Rogers for the wave propagator, and work of Ozawa-Tsutsumi, Planchon-Vega and Carneiro for the Schrödinger propagator. In each case, we make a connection to estimates involving certain dispersive Sobolev norms. As a consequence of these estimates we obtain, among other things, a new sharp form of a linear Strichartz estimate for the solu
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Dinh, Van Duong. "Strichartz estimates and the nonlinear Schrödinger-type equations." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30247/document.

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Cette thèse est consacrée à l'étude des aspects linéaires et non-linéaires des équations de type Schrödinger [ i partial_t u + |nabla|^sigma u = F, quad |nabla| = sqrt {-Delta}, quad sigma in (0, infty).] Quand $sigma = 2$, il s'agit de l'équation de Schrödinger bien connue dans de nombreux contextes physiques tels que la mécanique quantique, l'optique non-linéaire, la théorie des champs quantiques et la théorie de Hartree-Fock. Quand $sigma in (0,2) backslash {1}$, c'est l'équation Schrödinger fractionnaire, qui a été découverte par Laskin (voir par exemple cite{Laskin2000} et cite{Laskin2002
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Carneiro, Emanuel Augusto de Souza. "Extremality, symmetry and regularity issues in harmonic analysis." 2009. http://hdl.handle.net/2152/7474.

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In this Ph. D. thesis we discuss four different problems in analysis: (a) sharp inequalities related to the restriction phenomena for the Fourier transform, with emphasis on some Strichartz-type estimates; (b) extremal approximations of exponential type for the Gaussian and for a class of even functions, with applications to analytic number theory; (c) radial symmetrization approach to convolution-like inequalities for the Boltzmann collision operator; (d) regularity of maximal operators with respect to weak derivatives and weak continuity.<br>text
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Books on the topic "Strichartz inequalities"

1

Alazard, T., N. Burq, and C. Zuily. Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations. American Mathematical Society, 2019.

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Book chapters on the topic "Strichartz inequalities"

1

Ginibre, J., and G. Velo. "Generalized Strichartz Inequalities for the Wave Equation." In Partial Differential Operators and Mathematical Physics. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9092-2_17.

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2

Schirmer, Pedro Paulo. "Strichartz inequalities for the wave equations with a magnetic potential." In Equadiff 99. World Scientific Publishing Company, 2000. http://dx.doi.org/10.1142/9789812792617_0068.

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3

"Chapter 1. On Strichartz’s Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori." In Mathematical Aspects of Nonlinear Dispersive Equations (AM-163). Princeton University Press, 2009. http://dx.doi.org/10.1515/9781400827794.1.

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Journal articles
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