Wellposedness problem

This paper deals with the existence of solutions and the conditions for the strong convergence of minimizing sequences towards the set of solutions of the quadratic function minimization problem on the intersection of two ellipsoids in Hilbert space.

12p vinguyentuongdanh 20-12-2018 21 0   Download

This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension. 1. Introduction 1.1. The results. We consider in this paper second order, nonlinear hyperbolic equations of the form (1.1) gij (u) ∂i ∂j u = q ij (u) ∂i u ∂j u on R × Rn , with Cauchy data prescribed at time 0, (1.2) u(0, x) = u0 (x) , ∂0 u(0, x) = u1 (x) .

77p noel_noel 17-01-2013 70 5   Download