Nodal domains for one- and two-dimensional elliptic differential equations (Q1110712)
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scientific article; zbMATH DE number 4073541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nodal domains for one- and two-dimensional elliptic differential equations |
scientific article; zbMATH DE number 4073541 |
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Nodal domains for one- and two-dimensional elliptic differential equations (English)
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1988
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Concerning the Schrödinger equation \(-\Delta u+q(x)u=0\), \(x=(x_ 1,x_ 2)\in R^ 2\), a condition for q is formulated to ensure that there exists a nodal domain being a circle. Similarly, conditions for the Sturm-Liouville equation are obtained for the existence of a pair of conjugate points.
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zeros of solutions
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Schrödinger equation
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nodal domain
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Sturm-Liouville equation
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conjugate points
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