MATHEMATICA BOHEMICA, Vol. 122, No. 4, pp. 405-441 (1997)

Fourier problem with bounded Baire data

Miroslav Dont

Miroslav Dont, Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, Technicka 2, 166 27 Praha, Czech Republic, e-mail: dont@math.feld.cvut.cz

Abstract: The Fourier problem on planar domains with time moving boundary is considered using integral equations. Solvability of those integral equations in the space of bounded Baire functions as well as the convergence of the corresponding Neumann series are proved.

Keywords: heat equation, boundary value problem

Classification (MSC2000): 31A25, 31A20, 35K05

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