Solution to a parabolic equation with integral type boundary condition

Ignacio Barradas and Salvador Perez-Esteva

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-7

Abstract:

In this paper we study the existence, and continuous dependence of the solution ϑ = ϑ ( x , t ) on a Hölder space H 2 + γ , 1 + γ / 2 ( Q ¯ τ ) ( Q ¯ τ = [ 0 , 1 ] × [ 0 , τ ] , 0 < γ < 1 ) of a linear parabolic equation, prescribing ϑ ( x , 0 ) = f ( x ) , ϑ x ( 1 , τ ) = g ( τ ) the integral type condition ∫ 0 b ϑ ( x , τ ) d x = E ( τ ) .

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:308241

DOI: 10.1155/S0161171293000961

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