Strichartz inequality
WebRefinements of Strichartz' inequality and applications to 2D-NLS with critical nonlinearity Published in: International Mathematics Research Notices ( Volume: 1998 , Issue: 5 , … WebThe Strichartz inequality for orthonormal functions Rupert L. Frank Caltech Joint work with Mathieu Lewin, Elliott Lieb and Robert Seiringer Strichartz inequality for orthonormal …
Strichartz inequality
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WebFeb 12, 2024 · On the other hand, we provide evidence to support the conjecture in odd dimensions, and refine his sharp inequality in $\mathbb R^{1+3}$, adding a term proportional to the distance of the initial data from the set of extremizers. The proofs use the conformal compactification of the Minkowski space-time given by the Penrose … WebParticularly when r = r ˜, Theorem 1.3 covers the classical Strichartz estimates except for the endpoint case q = 2. In fact, we further obtain (1.6) for the endpoint case when the first inequality in (1.5) holds strictly. If not, it can be also obtained by making use of the Keel-Tao's bilinear argument.
WebMar 16, 2014 · The aim of this paper is to study Strichartz inequalities for the solution for the following Cauchy problem of the wave equation related to the full Laplacian on H-type groups with topological dimension and homogeneous dimension : where is the full Laplacian on and the Besov spaces (written by for short) are defined by a Littlewood-Paley ... WebIn this paper we prove the global dispersion and the Strichartz inequalities for a class of one-dimensional Schrödinger equations with step-function coefficients having a finite …
WebDec 1, 2006 · 2. Refinement of the Strichartz inequality on the saddle We will need the following theorem due to Sogge and Stein [13]. Let Φ : R n × R n mapsto→ R be smooth, and define the surface S z by S z = braceleftbig x ∈ R n : Φ (x,z)= 0 bracerightbig . K.M. Rogers, A. Vargas / Journal of Functional Analysis 241 (2006) 212–231 215 The surfaces ... WebarXiv:math/0404011v2 [math.AP] 23 Dec 2004 MAXIMIZERS FOR THE STRICHARTZ INEQUALITY DAMIANO FOSCHI Dipartimento di Matematica Pura e Applicata Universit`a …
WebAbstract. Strichartz inequalities for the wave equation u = f are estimates of the solution u of the Cauchy problem for that equation, in the form of space time integral norms, in …
WebA Strichartz inequality for the Schrödinger equation on nontrapping asymptotically conic manifolds. Comm. Partial Differential Equations, 30(1-3):157–205, 2005. [9] Leonard E. Parker and David J. Toms. Quantum field theory in curved spacetime. Cambridge Monographs on Mathematical Physics. bussmann 2a0660WebMar 24, 2024 · An inequality is strict if replacing any "less than" and "greater than" signs with equal signs never gives a true expression. For example, a<=b is not strict, whereas a bussmann 20a fuseWebJun 6, 2013 · The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we … ccbho ibhs referral formhttp://people.mpim-bonn.mpg.de/zagier/files/preprints/StrichartzParity.pdf ccbh onlineWebmeasure, Fourier restriction, and the Strichartz inequality Jordan Bell [email protected] Department of Mathematics, University of Toronto November 13, 2024 1 The Schr odinger equation For 0 PSpR dq, suppose that : r0;8q R ÑC satis es iB t 0; p0;xq 0pxq; xPRd: (1) We write pp˘q pp0;˘q » Rd e 2ˇi˘x pxqdx: Integrating by parts, yB j p ... bussmann 200 amp fuseWebFeb 18, 2009 · Strichartz inequalities for the wave equation u = f are estimates of the solution u of the Cauchy problem for that equation, in the form of space time integral … bussmann 2a1073WebJun 6, 2013 · We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the … bussmann 250 amp fuse