OPTIMAL ERROR BOUND IN A SOBOLEV SPACE OF REGULARIZED APPROXIMATION SOLUTIONS FOR A SIDEWAYS PARABOLIC EQUATION

(整期优先)网络出版时间:2005-09-19
/ 1
Theinverseheatconductionproblem(IHCP)isaseverelyill-posedprobleminthesensethatthesolution(ifitexists)doesnotdependcontinuouslyonthedata.Butnowtheresultsoninverseheatconductionproblemaremainlydevotedtothestandardinverseheatconductionproblem.SomeoptimalerrorboundsinaSobolevspaceofregularizedapproximationsolutionsforasidewaysparabolicequation,i.e.,anon-standardinverseheatconductionproblemwithconvectiontermwhichappearsinsomeappliedsubjectaregiven.