Nike Jordan 1 corollary Wise s example of a CAT 0
We present some results on the blow-up phenomenon for the Schrödinger equation in dimension three with a nonlinear term supported in a fixed point. We find sufficient conditions for the blow-up exploiting the moment of inertia of the solution and the uncertainty principle. In the critical case, we discuss the additional symmetries of the equation and construct a family of explicit blow-up solutions. In this article we prove that an isometric multiple HNN extension of a group satisfying the falsification by fellow traveler property is almost convex. As a corollary, Wise's example of Air Jordan 1 a CAT(0) non-Hopfian group is almost convex. In this work we study the spatial behavior of solutions to some nonlinear hyperbolic equations with nonlinear boundary conditions. Under suitable conditions, by using the weighted energy method, Nike Jordan 1 we prove that the solutions either cease to exist for a finite value of the spatial variable Air Jordan Spizike or decay algebraically in the spatial variable. A minimal set of auxiliary fields is used to construct a supergravity theory with closing algebra. The usual Fadeev-Popov ghost prescription is valid in this formulation. Elimination of the auxiliary fields in the lagrangian leads to supergravity with additional quartic ghost coupling terms, in agreement with those previously found.