3 problems

Let ${\mathcal{M}}[A^\varepsilon_{xy}]$ denote the distributional expression associated with the regularized kernel $A^\varepsilon_{xy}$, and let … denote the scalar and vector con…

Let $I(\delta)$ be the maximal $L^4$ norm to the fourth power among solutions $u_{\fbold}=\Phi(\fbold)$ with initial data satisfying $\|\fbold\|_{\mathcal{H}^{1/2}}=\delta$, and le…

In Hořava–Lifshitz gravity, spacetime has anisotropic scaling with spatial coordinates and time transforming differently, and the ultraviolet critical exponent is $z=D-1=3$ (with…