Dirichlet cauchy problem

In this paper, we study the first initial boundary value problem for second-order parabolic equations in cylinders with piecewise smooth base. Some results on the unique existence and on the smoothness with respect to time of the solution are given.

12p tamynhan8 04-11-2020 3 1   Download

In this paper, we study the regularity of the solution for Cauchy-Dirichlet problem for the second order parabolic equations in domains with conical points. The regularity of the solution in Lp-weighted Sobolev spaces will be established.

5p tamynhan8 04-11-2020 14 1   Download

In this paper we improve an earlier result by Bukhgeim and Uhlmann [1], by showing that in dimension n ≥ 3, the knowledge of the Cauchy data for the Schr¨dinger equation measured on possibly very small subsets of the o boundary determines uniquely the potential. We follow the general strategy of [1] but use a richer set of solutions to the Dirichlet problem. This implies a similar result for the problem of Electrical Impedance Tomography which consists in determining the conductivity of a body by making voltage and current measurements at the boundary. ...

26p noel_noel 17-01-2013 47 7   Download