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ON CONTINUOUS DEPENDENCE OF SOLUTIONS TO THE FIRST FOURIER PROBLEM WITH RESPECT TO PARAMETER

1993
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Demonstratio Mathematica
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In this paper we consider the first Fourier problem with parameter A, where T is a positive constant, L is a linear parabolic operator of the second order, Eo C R n , n > 2, is a bounded domain with boundary S and Eo = Eg U S. Parameter A varies in a subset A of a Banach space (5,|-|). We discuss the continuity of solution to the problem (0.1), (0.2) with respect to A in a fixed point Ao € A (Ao being a limit point of yl). Roughly speaking, this continuity is guaranted by the continuity (in

doi:10.1515/dema-1993-0205
fatcat:ojkmpmzvq5ddbbhqiez7hlfgam