Finding the coefficient multiplying the time derivative in quasilinear parabolic equations in Holder spacesстатья
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Дата последнего поиска статьи во внешних источниках: 19 июля 2013 г.
Аннотация:Statements in Holder spaces are considered for ill-posed inverse problems with final
observation for parabolic equations with unknown coefficients multiplying the time
derivative. On the basis of duality principle sufficient conditions for uniqueness of
solutions in these classes are proved. Examples are presented in which the uniqueness
property is lost if the set of admissible solutions is extended. The quasisolution method is
established for constructing approximate solutions stable in these Holder classes