Parabolic equations with the second order Cauchy conditions on the boundary

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

2007-08-15

arxiv.org/abs/0708.1978v1

Journal of Physics A: Mathematical and Theoretical. (2007) 40, pp. 12409--12413

Mathematics

Analysis of PDEs

7 pages

Scientific paper

10.1088/1751-8113/40/41/010

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.

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