Parabolic equations with the second-order Cauchy conditions on the boundary

Dokuchaev, Nikolai

doi:10.1088/1751-8113/40/41/010

166900_166900.pdf (81.98Kb)

Access Status

Open access

Authors

Dokuchaev, Nikolai

Date

2007

Type

Journal Article

Metadata

Show full item record

Citation

Dokuchaev, Nikolai. 2007. Parabolic equations with the second-order Cauchy conditions on the boundary. Journal of Physics A: Mathematical and Theorectical. 40 (41): pp. 12409-12413.

Source Title

Journal of Physics A: Mathematical and Theorectical

DOI

10.1088/1751-8113/40/41/010

ISSN

17518113

School

Department of Mathematics and Statistics

Remarks

URI

http://hdl.handle.net/20.500.11937/29626

Collection

Curtin Research Publications

Abstract

The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with the homogenous 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 the frequency domain. This class is everywhere dense in the space of square integrable functions.