This paper is on the asymptotic behavior of elastic string equation with localized degenerate Kelvin–Voigt damping u t ( x , ) − [ + b ] = 0 ∈ 1 > \begin{equation} u_{tt}(x,t)-[u_{x}(x,t)+b(x) u_{xt}(x,t) ]_{x}=0,\; x\in (-1,1),\; t>0, \end{equation} (0.1)where $b(x)=0$ $x\in (-1,0]$ and α $b(x)=x^\alpha >0$ (0,1)$ for $\alpha \in . It known that optimal decay rate solution 2 $t^{-2}$ in limit ...

Abstract In the present paper, we consider existence of solutions with a prescribed $l^{2}$ l 2 -norm for following discrete Schrödinger equations, $$ \textstyle\begin{cases} -\Delta ^{2} u_{k-1}-f(u_{k})= \lambda u_{k} \quad k\in \mathbb{Z}, \\ \sum_{k\in \mathbb{Z}} \...

Abstract Continuing previous work, this paper provides maximal characterizations of anisotropic Triebel-Lizorkin spaces $$\dot{\textbf{F}}^{\alpha }_{p,q}$$ F ˙ p , q α </mml:...

Galili, Uri, "Conversion of tumors into autologous vaccines by intratumoral injection of alpha-Gal glycolipids that induce anti-Gal/ alpha-Gal epitope interaction" (2011). Anti-Gal is the most abundant antibody in humans, constituting 1% of immunoglobulins. Anti-Gal binds specifically α-gal epitopes (Galα1-3Galβ1-4GlcNAc-R). Immunogenicity of autologous tumor associated antigens (TAA) is greatl...