Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 6 of 6 for “"Strichartz estimates"”.
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Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature
… we use scaled wave packet methods to prove Strichartz estimates on compact Riemannian manifolds under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives.
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Discrete Fourier restriction phenomenon associated with some periodic dispersive equations
… one recovers Bourgain's level set result on Strichartz estimates associated with periodic Schrodinger equations. Some sharp estimates on $L^\frac{2(d+2)}{d}$ norms of certain exponential sums in higher dimensional cases are established. In Chapter 3 we further discuss the discrete Fourier …
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Smoothing estimates for non commutative spaces
… of the thesis proves the existence of abstract Strichartz estimates on $\rx_{\ta}$ for operators that satisfies ultracontractivity and energy estimate. And we show the abstract Strichartz estimates are applicable to the Schr\""{o}dinger equation problem on quantum Euclidean spaces $\rx_{\ta}^n$."
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The Initial Value Problem for the Zakharov System
… the $X\sb{s,b}$ denominators combined with the Strichartz estimates for the paraboloid, gives the d = 1, 2 results. For the more difficult d = 3 problem, Strichartz estimate for the cone and a refined convolution estimate for measures supported on the sphere are exploited to give the local …
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Estimates for solutions to the Dysthe equation and numerical simulations of walking droplets in harmonic potentials
… rogue waves. In this thesis, we prove dispersive estimates and Strichartz estimates for the Dysthe equation. We then prove a Kato-type smoothing effect in which we are able to bound uniformly in space the L² norm in time of a fractional derivative of the linear solution by the L² norm in space of …
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Well-posedness and scattering of the Chern-Simons-Schrödinger system
… operator, in particular frequency-localised Strichartz estimates, using adaptations of the $U^p$ and $V^p$ spaces introduced by Koch and Tataru in other contexts. The other main result of the thesis characterises the large-time behaviour in the case where the interaction potential is the …