Geometric structures of solutions for certain elliptic differential equations (Q2711963)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric structures of solutions for certain elliptic differential equations |
scientific article |
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22 February 2002
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inverse nodal problem
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Sturm-Liouville operator
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elliptic partial differential equations
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Geometric structures of solutions for certain elliptic differential equations (English)
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The author provides a short summary of recent results on the inverse nodal problem for the Sturm-Liouville operator NEWLINE\[NEWLINE -y''+q(x)y=\lambda y,\quad 0<x<1, NEWLINE\]NEWLINE NEWLINE\[NEWLINE y(0)\cos\alpha_j + y'(0)\sin\alpha_j =0, \quad y(1)\cos\beta + y'(1)\sin\beta =0, NEWLINE\]NEWLINE and gives some remarks on properties of nodal sets to elliptic partial differential operators.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00021].
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