An example of a non-trivial, non-self-adjoint Huygens differential equation in four independent variables (Q286647)
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scientific article; zbMATH DE number 6585004
| Language | Label | Description | Also known as |
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| English | An example of a non-trivial, non-self-adjoint Huygens differential equation in four independent variables |
scientific article; zbMATH DE number 6585004 |
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An example of a non-trivial, non-self-adjoint Huygens differential equation in four independent variables (English)
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25 May 2016
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Summary: A family of non-trivial, essentially non-self-adjoint wave equations which satisfy Huygens' principle is given. It is constructed on a 4-dimensional Lorentzian space which is a product of two 2-dimensional spaces of constant curvature. Prior to this example, the only known non-trivial Huygens equation was the scalar wave equation on the exact plane wave spacetime as presented by Günther.
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Huygens' principle
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Hadamard's problem
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non-self-adjoint wave equation
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