Solution to a parabolic equation with integral type boundary condition
In this paper we study the existence, and continuous dependence of the solution ϑ=ϑ(x,t) on a Hölder space H2+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), ϑx(1,τ)=g(τ) the integral type condition ∫0bϑ(x,τ)dx=E(τ).
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000961 |