β Scribed by J. R. Cannon; Paul DuChateau; Ken Steube
No coin nor oath required. For personal study only.
The authors give four examples of inverse problems related to fluid flow in a porous media. Thesc are the problems of identifying a.n unknown source term, and unknown diffusivity, an unknown porosity, and both an unknown difhmlvity and porosity.
The authors show how these problems can be recast into prol)lem.~ whose equations are weU-defined differential equations with tr;~ce type functional (:oeffich~ats. The authors conclude with a discussion of the reformuhtted problems. ~ey_w_0~orAl~: Trace Type Functional Differential Equations MR~Classlflcation: 35r~.
π SIMILAR VOLUMES
## Abstract The initialβboundary value problem in a semiβinfinite strip (0, β)Γ(0, __T__) for a degenerate parabolic equation of the form __u__, ~t~= Ο(__u__)~__xx__~ + __b__(__x__)Ο(__u__)~__x__~ is considered. The properties of solutions in the case where the initial function is compactly support