arXiv subjects

Xin Yu

Publications and source records attributed to Xin Yu.

273 records · Page 16Linked to original sources

arXiv2011

Generalized Strichartz Estimates on Perturbed Wave Equation and Applications on Strauss Conjecture

In this paper we show a general Strichartz estimate for certain perturbed wave equation, and here we can drop the nontrapping hypothesis and handle trapping obstacles with some loss of derivatives for data in the local energy decay estimates. Then we give the obstacle version of sharp life span for semilinear wave equations when $n=3,p<p_c$, by using a real interpolation method, and by getting a corresponding finite time Strichartz estimates(see section 3). Finally, as an application of the general Strichartz estimates we have gained, we get the Strauss conjecture for semilinear wave equations with several convex obstacles when $n=3,4$(see Section 4).

math.AP↗

arXiv2011

Concerning the Strauss conjecture on asymptotically Euclidean manifolds

In this paper we verify the Strauss conjecture for semilinear wave equations on asymptotically Euclidean manifolds when n=3,4, we also give an almost sharp life span for the subcritical case $2\le p<p_c$ when n=3. The main ingredients include a KSS type estimate with $0<μ<1/2$ and weighted Strichartz estimates of order two.

math.AP↗

arXiv2002

The Meson Spectrum of the BCC Quark Model (A Modification of the Quark Model)

Using the quark spectrum of the BCC Quark Model [1] and the phenomenological formula for the binding energies of the mesons, not only have we deduced the intrinsic quantum numbers (I, S, C, b, and Q) of all mesons as was done with the Quark Model [2], but also we deduced the meson mass spectrum in agreement with experimental results [3] that we could not deduce using the Quark Model. The experimental meson spectrum gives some evidence of the existence of the new quarks $q_S^*(1391)$, $q_S^*(2551)$ and $q_C^*(6591)$..., which are predicted by the BCC Quark Model. The meson $χ(1600)$ $[2^+(2^{++})]$ with I = 2 (predicted by the BCC Quark Model--T(1603)) has already been discovered [4]. If this is finally confirmed, it will provide a strong support for the BCC Quark Model. We propose a search for the mesons D(5996), $D_S (6151)$, B(9504), $B_S (9659)$, $B_C (11031)$, $η(5926)$, $η(17837)$, $ψ(25596)$, $Υ(17805)$, $Υ(29597)$, T(960), T(1282), T(1603), and T(1924).

hep-ph↗