Parabolic equations with the second order Cauchy conditions on the boundary
Analysis of PDEs
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with homogenuous Cauchy condition at initial time and with the second order Cauchy condition on the boundary of the semi-plane. A class of inputs that allows some regularity is suggested and described explicitly in frequency domain. This class is everywhere dense in the space of square integrable functions.
Cite
@article{arxiv.0708.1978,
title = {Parabolic equations with the second order Cauchy conditions on the boundary},
author = {Nikolai Dokuchaev},
journal= {arXiv preprint arXiv:0708.1978},
year = {2009}
}
Comments
7 pages