Dispersive and Strichartz estimates for the wave equation in domains with boundary
Ivanovici, Oana
Journées équations aux dérivées partielles, (2010), p. 1-19 / Harvested from Numdam
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In this note we consider a strictly convex domain Ω⊂ℝ d of dimension d≥2 with smooth boundary ∂Ω≠∅ and we describe the dispersive and Strichartz estimates for the wave equation with the Dirichlet boundary condition. We obtain counterexamples to the optimal Strichartz estimates of the flat case; we also discuss the some results concerning the dispersive estimates.

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/jedp.68 
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     author = {Ivanovici, Oana},
     title = {Dispersive and Strichartz estimates for the wave equation in domains with boundary},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2010},
     pages = {1-19},
     doi = {10.5802/jedp.68},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2010____A11_0}
}

Ivanovici, Oana. Dispersive and Strichartz estimates for the wave equation in domains with boundary. Journées équations aux dérivées partielles,  (2010), pp. 1-19. doi : 10.5802/jedp.68. http://gdmltest.u-ga.fr/item/JEDP_2010____A11_0/

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