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arXiv · 0708.1978

Parabolic equations with the second order Cauchy conditions on the boundary

Nikolai Dokuchaev
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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.

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Nikolai Dokuchaev. 2007-08-15. Parabolic equations with the second order Cauchy conditions on the boundary. https://doi.org/10.1088/1751-8113/40/41/010

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