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Boundary conditions for one-dimensional positive semigroups - MaRDI portal

Boundary conditions for one-dimensional positive semigroups (Q1188330)

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scientific article; zbMATH DE number 40488
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English
Boundary conditions for one-dimensional positive semigroups
scientific article; zbMATH DE number 40488

    Statements

    Boundary conditions for one-dimensional positive semigroups (English)
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    13 August 1992
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    The one-parameter semigroups on \(C[0,1]\) generated by the first and second order differential operators are discussed. All domains given by the suitable boundary conditions such that the formal differential operator defined on them generates a positive semigroup are determined. These results are compared with the known ones proved for the case of contracting semigroups.
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    partial differential equations
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    diffusion processes
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    one-parameter semigroups on \(C[0,1]\) generated by the first and second order differential operators
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    positive semigroup
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    contracting semigroups
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