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On some properties of a set of boundary value problems. (Russian) Zbl 0533.35015

The minimal and the maximal operators \(L_ 0\) and \(\hat L\) for the linear differential operator \({\mathcal L}\) in a domain \(\omega \subset R^ n\), are conidered. A closed operator L is called a boundary value problem, if \(L_ 0\subset L\subset \hat L\). If we know a correct problem, then we can find the set of all correct boundary value problems. Some examples are given.
Reviewer: G.A.Sokhadze

MSC:

35G15 Boundary value problems for linear higher-order PDEs
47F05 General theory of partial differential operators
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