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arXiv:0708.1978 [math.AP]AbstractReferencesReviewsResources

Parabolic equations with the second order Cauchy conditions on the boundary

Nikolai Dokuchaev

Published 2007-08-15Version 1

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.

Comments: 7 pages
Journal: Journal of Physics A: Mathematical and Theoretical. (2007) 40, pp. 12409--12413
Categories: math.AP, math-ph, math.MP
Subjects: 35K20, 35Q99, 32A35, 47A52
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