Correct problems in a layer with differential operators under the boundary condition
We obtain a criterion for the well-posedness of a boundary-value problem in the layer ℝn × [0, T]  for a linear differential evolution equation with constant complex coefficients in the class of functions of power growth under a two-point condition that contains two arbitrary differenti...
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| Datum: | 1992 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8037 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We obtain a criterion for the well-posedness of a boundary-value problem in the layer ℝn × [0, T]  for a linear differential evolution equation with constant complex coefficients in the class of functions of power growth under a two-point condition that contains two arbitrary differential operators with respect to space variables (one of the operators can be zero). Examples of well-posed and ill-posed problems of this form are given. |
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