Stability of Lipschitz type in determination of initial heat distribution

For the solution u(x,t)=u(f)(x,t) of the equations {u′(x,t)=Δu(x,t),u(x,0)=f(x),u(x,t)=0,  x∈Ω,t>0x∈Ωx∈∂Ω,t>0} where Ω⊂â„Âr,2≤r≤3 is a bounded domain with C2-boundary and for an appropriate subboundary Γ of Ω we prove a...

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Bibliographic Details
Main Authors: Masahiro Yamamoto, Saburou Saitoh
Format: Article
Language:English
Published: SpringerOpen 1997-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://dx.doi.org/10.1155/S1025583497000052