Strichartz inequality
http://people.mpim-bonn.mpg.de/zagier/files/preprints/StrichartzParity.pdf WebarXiv:math/0404011v2 [math.AP] 23 Dec 2004 MAXIMIZERS FOR THE STRICHARTZ INEQUALITY DAMIANO FOSCHI Dipartimento di Matematica Pura e Applicata Universit`a …
Strichartz inequality
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WebThere is a substantial body of literature devoted to establishing Strichartz inequalities and other dispersive bounds for the linear Schr odinger evolution of perturbed operators H = + V(x). [21, 8, 15] prove Strichartz inequalities for the free evolution. The latter two of these, as well as [19] create a framework for extending them to perturbed WebOct 1, 1995 · Regular ArticleGeneralized Strichartz Inequalities for the Wave Equation. We make a synthetic exposition of the generalized Strichartz inequalities for the wave …
Webthe Strichartz inequality are Gaussians. More precisely, we have the following Theorem 1.5 (Gaussian maximizers). Let d = 1 or 2. The function f ∈ L2(Rd) is a maximizer for the … WebJun 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 …
WebApr 1, 2004 · Abstract: We compute explicitely the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for … WebDec 31, 1997 · Refinements of Strichartz' inequality and applications to 2D-NLS with critical nonlinearity; Overview Citations (552) Related Papers (5) ... and replace the Morawetz inequality by an interaction variant (first used in (12), (13)). The principal advantage of the interaction Morawetz estimate is that it is not localized to the spatial origin and ...
WebDec 11, 2003 · Abstract We obtain the Strichartz inequality for any smooth three-dimensional Riemannian manifold (M, g) which is asymptotically conic at infinity and nontrapping, where u is a solution to the Schrödinger equation iu t + (1/2)Δ M u = 0. The exponent H 1/4 (M) is sharp, by scaling considerations.
WebMar 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 land rover dealers in connecticutWebmeasure, 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 ... hematopathology mskccWebFeb 3, 2024 · We give simple proofs for Strichartz type inequalities using purely the L^2 \rightarrow L^p operator norm estimates of the spectral projections associated to the harmonic oscillator proved in [Jeong, Lee and Ryu, 2024 arxiv:2205.03036v1, 2024, and Koch and Tataru 2005 Duke Math. J. 128:369–392, 2005]. hematopathology fellowship md andersonWebStrichartz estimate by H¨older’s inequality, if that estimate was true. The proof of Theorem 1.3 turns out to be remarkably “low-tech”, and proceeds by using Theorem 1.1 as a “black box”. hematopathology flow cytometryWebAbstract. 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 … land rover dealership wichita ksWebStrichartz estimates are spacetime estimates on homogeneous and inhomogeneous linear dispersive and wave equations. They are particularly useful for solving semilinear perturbations of such equations, in which no derivatives are present in the nonlinearity. hematopathology organizationsWebThis is the sharp Strichartz inequality (5) for k= 1 proven by Foschi. Note that equality is attained if and only if fb2E, which in turn is equivalent to gbeing a Gaussian4. Let H ndenote the space of spherical harmonics of degree non the (d 1)-dimensional unit sphere Sd 1 (i.e., the restrictions to Sd 1 of degree nhomogeneous polynomials ... hematopathology morphologic evaluation