Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic (Q2711600)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic |
scientific article |
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9 May 2002
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systems of pseudodifferential equations
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Fredholm property
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anisotropic weighted Bessel potential spaces
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asymptotic solutions
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crack problems in elasticity
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Pseudodifferential equations on manifolds with boundary: Fredholm property and asymptotic (English)
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Systems of pseudodifferential equations with symbols from extended Hörmander classes on a manifold with smooth boundary are studied in anisotropic weighted Bessel potential spaces. A general Fredholm criterion is obtained by using factorization of the corresponding symbol. Asymptotic solutions are studied. Applications to crack problems in elasticity are indicated.
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