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Solution of irregular systems of partial differential equations using skeleton decomposition of linear operators

... smooth coefficients. In the concrete situations the domains of such differential operators are linear manifolds of smooth enough functions with values in Banach space. Such functions are assumed to satisfy additional boundary conditions. The concept of a skeleton chain of linear operator is introduced. It is assumed that the operator generates a skeleton chain of the finite length. In this case, the problem of solution of a given system is reduced to a regular split system of equations. The system is ...

Теги: ill-posed problems , cauchy problems , irreversible operator , skeleton decomposition , skeleton chain , boundary value problems
Раздел: ИСЭМ СО РАН


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