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Vietnam
Journal of Mathematics 37:2&3 (2009) 399-417
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Recovering a Class of Entire Functions and
Application to Heat Equations
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Dang Duc Trong,
Phan Thanh Nam,
and Mach Nguyet Minh
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Abstract. We consider the problem of
recovering a class of entire functions from their values on a set of
integer nodes. These results are applied to investigate two problems
involving heat equations: the first one is of solving a heat equation
without either the initial condition or the final condition, and the second
one is of determining the heat source of a backward heat problem.
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2000 Mathematics Subject Classification: 30E05, 35K05.
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Keywords: Interpolation, Fourier transform, heat
equation, heat source.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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