The hyperbolic singular perturbation problem: An operator theoretic approach (Q1096074)
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scientific article; zbMATH DE number 4030035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The hyperbolic singular perturbation problem: An operator theoretic approach |
scientific article; zbMATH DE number 4030035 |
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The hyperbolic singular perturbation problem: An operator theoretic approach (English)
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1987
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Der Verf. untersucht Konvergenzfragen für hyperbolische singuläre Störungsprobleme vom Typ \[ \epsilon^ 2(\partial^ 2/\partial t^ 2-a(\partial^ 2/\partial x^ 2))u+(\partial /\partial t-b(\partial /\partial x))u=0, \] wobei \(\epsilon >0\) ein kleiner Parameter ist, und, allgemeiner, von Problemen der Art \[ \epsilon u''(t)+u'(t)=(\epsilon^ 2A+B)u(t), \] wobei A und B unbeschränkte lineare Operatoren in einem Banachraum sind.
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hyperbolic
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singular perturbation
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convergence
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small parameter
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unbounded linear operator
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