Strichartz inequality
WebThis 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 ... 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
Strichartz inequality
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WebJan 1, 1998 · Refinements of Strichartz' inequality and applications to 2D-NLS with critical nonlinearity J. Bourgain International Mathematics Research Notices, Volume 1998, Issue … WebStrichartz 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”.
Webmeasure, 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 ... 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 …
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 ... 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 ...
WebApr 10, 2014 · The Strichartz inequality for the system of orthonormal functions for the Hermite operator has been proved in [4] using the classical Strichartz estimates for the free Schrödinger propagator...
WebarXiv:math/0404011v2 [math.AP] 23 Dec 2004 MAXIMIZERS FOR THE STRICHARTZ INEQUALITY DAMIANO FOSCHI Dipartimento di Matematica Pura e Applicata Universit`a di L’Aquila via Vetoio toyota proace verso testhttp://people.mpim-bonn.mpg.de/zagier/files/preprints/StrichartzParity.pdf toyota proace verso test adacWebStrichartz 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. toyota proace verso wavWebWe analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates which are optimal from the decay point of view. We also prove a Hardy-type inequality for the perturbed Dirac operator. toyota proace warrantyWebarXiv:math/0404011v2 [math.AP] 23 Dec 2004 MAXIMIZERS FOR THE STRICHARTZ INEQUALITY DAMIANO FOSCHI Dipartimento di Matematica Pura e Applicata Universit`a … toyota proace verso verbrauchWebOct 4, 2016 · Refinements of Strichartz’ inequality and applications to 2D-NLS with critical nonlinearity. International Mathematics Research Notices, (1998), 253–283. Brézis H., Lieb E.H.: A relation between pointwise convergence of functions and convergence of functionals. Proceedings of the American Mathematical Society 88, 486–490 (1983) toyota proace vs vw transporterWebApr 1, 2004 · Abstract: We compute explicitely the best constants and, by solving some functional equations, we find all maximizers for homogeneous Strichartz estimates for … toyota proace weight